Господин Экзамен
Другие калькуляторы
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Как пользоваться?
- a^8-4*a^2-8*a-4 если a=1/4
- 7*(sqrt(x)-5)/(sqrt(x))+5*sqrt(x)/x если x=-3/2
- a31*a45 если a31=-1/4
- 4*a^2-4*a+1 если a=-1/2
- Разложить многочлен на множители:
- a^4-b^6
- a^2+16*a+64
- 12*m^4-108*m^2
- x^2+10*x+25
- Общий знаменатель:
- x2-25/x2-6*x*x2-36/x2+5*x
- ((x^3+125)/(x^2-12*x+36))*((x^2-36)/(x^2-5*x+25))-(11*x+66)/(x-6)
- x*y+y^2/15*x*3*x/x+y
- x^2-16*x+12/x^3+8+3*x+2/x^2-2*x+4
- Умножение столбиком:
- 12*25
- 15*21
- 23*23
- 20*30
- Деление столбиком:
- 52/6
- 480/6
- 22/8
- 13/3
- Раскрыть скобки в:
- a^7*(a^2)^4
- (a+b)*(a-c)
- (a-2)*(a+2)
- (m^3-n^5)*(m^3+n^5)
- Разложение числа на простые множители:
- 2002
- 7140
- 4982
- 4356
- Производная:
- 1/4
- Интеграл d{x}:
-
1/4
- График функции y =:
- 1/4
-
Идентичные выражения
- a^ восемь - четыре *a^ два - восемь *a- четыре если a= один / четыре
- a в степени 8 минус 4 умножить на a в квадрате минус 8 умножить на a минус 4 если a равно 1 делить на 4
- a в степени восемь минус четыре умножить на a в степени два минус восемь умножить на a минус четыре если a равно один делить на четыре
- a8-4*a2-8*a-4 если a=1/4
- a⁸-4*a²-8*a-4 если a=1/4
- a в степени 8-4*a в степени 2-8*a-4 если a=1/4
- a^8-4a^2-8a-4 если a=1/4
- a8-4a2-8a-4 если a=1/4
- a^8-4*a^2-8*a-4 при a=1/4
- a^8-4*a^2-8*a-4 если a=1 разделить на 4
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Похожие выражения
- a^8-4*a^2+8*a-4 если a=1/4
- a^8+4*a^2-8*a-4 если a=1/4
- a^8-4*a^2-8*a+4 если a=1/4
a^8-4*a^2-8*a-4 если a=1/4
Решение
Разложение на множители
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+ ------- | | / / / 1 \/ 465 4 3*3 / - + ------- / / 1 \/ 465 4 | | / / 1 \/ 465 4 / / / 1 \/ 465 4 3*3 / - + ------- | | / / 1 I*\/ 303 4 / / / 1 I*\/ 303 4 3*3 / - + --------- | | / / 1 I*\/ 303 4 / / / 1 I*\/ 303 4 3*3 / - + --------- | | / / 1 \/ 465 4 / / / 1 \/ 465 4 3*3 / - + ------- | | / / 1 I*\/ 303 4 / / / 1 I*\/ 303 4 3*3 / - + --------- | | / / / 1 I*\/ 303 4 3*3 / - + --------- / / 1 I*\/ 303 4 | | / 2*3 / - + ------- - -------------------- / / 2*3 / - + ------- - -------------------- \/ 4 36 | | / / 2*3 / - + ------- - -------------------- \/ 4 36 / 2*3 / - + ------- - -------------------- | | / 2*3 / - + ------- - -------------------- / / 2*3 / - + ------- - -------------------- \/ 4 36 | | / 2*3 / - + --------- + ---------------------- / / 2*3 / - + --------- + ---------------------- \/ 4 36 | | / 2*3 / - + --------- + ---------------------- / / 2*3 / - + --------- + ---------------------- \/ 4 36 | | / 2*3 / - + ------- - -------------------- / / 2*3 / - + ------- - -------------------- \/ 4 36 | | / 2*3 / - + --------- + ---------------------- / / 2*3 / - + --------- + ---------------------- \/ 4 36 | | / / 2*3 / - + --------- + ---------------------- \/ 4 36 / 2*3 / - + --------- + ---------------------- | | / \/ 4 36 _____________ / / \/ 4 36 _____________ | | / / \/ 4 36 _____________ / \/ 4 36 _____________ | | / \/ 4 36 _____________ / / \/ 4 36 _____________ | | / \/ 4 36 _______________ / / \/ 4 36 _______________ | | / \/ 4 36 _______________ / / \/ 4 36 _______________ | | / \/ 4 36 _____________ / / \/ 4 36 _____________ | | / \/ 4 36 _______________ / / \/ 4 36 _______________ | | / / \/ 4 36 _______________ / \/ 4 36 _______________ | | / / _____ / / / _____ | | / / / _____ / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / / _____ / / _____ | | / / 1 \/ 465 / / / 1 \/ 465 | | / / / 1 \/ 465 / / 1 \/ 465 | | / / 1 \/ 465 / / / 1 \/ 465 | | / / 1 I*\/ 303 / / / 1 I*\/ 303 | | / / 1 I*\/ 303 / / / 1 I*\/ 303 | | / / 1 \/ 465 / / / 1 \/ 465 | | / / 1 I*\/ 303 / / / 1 I*\/ 303 | | / / / 1 I*\/ 303 / / 1 I*\/ 303 | | / 3*3 / - + ------- / / 3*3 / - + ------- | | / / 3*3 / - + ------- / 3*3 / - + ------- | | / 3*3 / - + ------- / / 3*3 / - + ------- | | / 3*3 / - + --------- / / 3*3 / - + --------- | | / 3*3 / - + --------- / / 3*3 / - + --------- | | / 3*3 / - + ------- / / 3*3 / - + ------- | | / 3*3 / - + --------- / / 3*3 / - + --------- | | / / 3*3 / - + --------- / 3*3 / - + --------- | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ \/ 4 36 \/ \/ 4 36 | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ 4 36 \/ \/ \/ 4 36 | | \/ \/ \/ 4 36 \/ \/ 4 36 | 1*|a + ------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------|*|a + - ------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------|*|a + - ------------------------------------------------------- - 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$$\left(a + \left(\frac{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}{2} - \frac{\sqrt{- \frac{4}{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}} - 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}} + \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}}{2}\right)\right) 1 \left(a + \left(\frac{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}{2} + \frac{\sqrt{- \frac{4}{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}} - 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}} + \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}}{2}\right)\right) \left(a - \left(\frac{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}} + \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + \frac{4}{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}}}{2}\right)\right) \left(a + \left(\frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}} + \frac{4}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}} - \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}}{2} + \frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}{2}\right)\right) \left(a - \left(\frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}} - \frac{4}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}} - \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}}{2}\right)\right) \left(a - \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}} + \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + \frac{4}{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}}}{2} + \frac{\sqrt{- \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{465}}{36}}}}{2}\right)\right) \left(a - \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}} - \frac{4}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}} - \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}}{2} + \frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}{2}\right)\right) \left(a - \left(\frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}} + \frac{4}{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}} - \frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}}{2} - \frac{\sqrt{\frac{4}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{303} i}{36}}}}{2}\right)\right)$$
(((((((1*(a + (sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2 + sqrt(-4/sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3))) - 2*(1/4 + sqrt(465)/36)^(1/3) + 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2)))*(a - (sqrt(-4/sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3))) - 2*(1/4 + sqrt(465)/36)^(1/3) + 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2 + sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2)))*(a - (sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2 - sqrt(-2*(1/4 + sqrt(465)/36)^(1/3) + 4/sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3))) + 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2)))*(a + (sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2 + sqrt(-2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3))) - 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2)))*(a - (sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2 - sqrt(-4/sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3))) - 2*(1/4 + i*sqrt(303)/36)^(1/3) - 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2)))*(a - (sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2 + sqrt(-2*(1/4 + sqrt(465)/36)^(1/3) + 4/sqrt(2*(1/4 + sqrt(465)/36)^(1/3) - 4/(3*(1/4 + sqrt(465)/36)^(1/3))) + 4/(3*(1/4 + sqrt(465)/36)^(1/3)))/2)))*(a - (sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2 + sqrt(-4/sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3))) - 2*(1/4 + i*sqrt(303)/36)^(1/3) - 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2)))*(a - (sqrt(-2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3))) - 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2 + sqrt(2*(1/4 + i*sqrt(303)/36)^(1/3) + 4/(3*(1/4 + i*sqrt(303)/36)^(1/3)))/2))
Подстановка условия
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a^8 - 4*a^2 - 8*a - 1*4 при a = 1/4
подставляем
8 2 a - 4*a - 8*a - 4
$$a^{8} - 4 a^{2} - 8 a - 4$$
8 2 -4 + a - 8*a - 4*a
$$a^{8} - 4 a^{2} - 8 a - 4$$
переменные
a = 1/4
$$a = \frac{1}{4}$$
8 2 -4 + (1/4) - 8*(1/4) - 4*(1/4)
$$(1/4)^{8} - 4 (1/4)^{2} - 8 (1/4) - 4$$
1 1
-4 + -- - 8*1/4 - 4*--
8 2
4 4
$$-4 - 2 - \frac{4}{16} + \left(\frac{1}{4}\right)^{8}$$
-409599 -------- 65536
$$- \frac{409599}{65536}$$
-409599/65536
Комбинаторика
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/ 4 \ / 4 \ \-2 + a - 2*a/*\2 + a + 2*a/
$$\left(a^{4} - 2 a - 2\right) \left(a^{4} + 2 a + 2\right)$$
(-2 + a^4 - 2*a)*(2 + a^4 + 2*a)