$$- 9 b^{2} + 25 c^{2} + 9 b_{2}$$
Подстановка условия
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(3*b + 5*c)*(5*c - 3*b) + 9*b2 при c = -1/2
(3*b + 5*c)*(5*c - 3*b) + 9*b2
$$\left(3 b + 5 c\right) \left(- 3 b + 5 c\right) + 9 b_{2}$$
$$- 9 b^{2} + 25 c^{2} + 9 b_{2}$$
$$c = - \frac{1}{2}$$
2 2
- 9*b + 9*b2 + 25*(-1/2)
$$25 (-1/2)^{2} - 9 b^{2} + 9 b_{2}$$
$$- 9 b^{2} + 9 b_{2} + \frac{25}{4}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
$$\left(- 3 b + 5 c\right) \left(3 b + 5 c\right) + 9 b_{2}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
Объединение рациональных выражений
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9*b2 + (-3*b + 5*c)*(3*b + 5*c)
$$\left(- 3 b + 5 c\right) \left(3 b + 5 c\right) + 9 b_{2}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
$$\left(- 3 b + 5 c\right) \left(3 b + 5 c\right) + 9 b_{2}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
$$- 9 b^{2} + 25 c^{2} + 9 b_{2}$$
Рациональный знаменатель
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$$- 9 b^{2} + 25 c^{2} + 9 b_{2}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
$$\left(- 3 b + 5 c\right) \left(3 b + 5 c\right) + 9 b_{2}$$
9*b2 + (-3*b + 5*c)*(3*b + 5*c)
9.0*b2 + (3.0*b + 5.0*c)*(5.0*c - 3.0*b)
9.0*b2 + (3.0*b + 5.0*c)*(5.0*c - 3.0*b)
$$- 9 b^{2} + 25 c^{2} + 9 b_{2}$$