Resolver -lambda[-lambda(191-lambda)-3gamma2^2]

$$- \lambda [ - \lambda ( 191 - \lambda ) - 3 \gamma 2 ^ { 2 } ]$$

Calcular

$$-\lambda \left(\lambda ^{2}-12\gamma -191\lambda \right)$$

Pasos da solución

Usa a propiedade distributiva para multiplicar -\lambda por 191-\lambda .

$$\left(-\lambda \right)\left(191\left(-\lambda \right)-\left(-\lambda \right)\lambda -3\gamma \times 2^{2}\right)$$

Multiplica -1 e -1 para obter 1.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda \lambda -3\gamma \times 2^{2}\right)$$

Multiplica \lambda e \lambda para obter \lambda ^{2}.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-3\gamma \times 2^{2}\right)$$

Calcula 2 á potencia de 2 e obtén 4.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-3\gamma \times 4\right)$$

Multiplica 3 e 4 para obter 12.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-12\gamma \right)$$

Usa a propiedade distributiva para multiplicar -\lambda por 191\left(-\lambda \right)+\lambda ^{2}-12\gamma .

$$191\left(-\lambda \right)^{2}+\left(-\lambda \right)\lambda ^{2}-12\left(-\lambda \right)\gamma$$

Calcula -\lambda á potencia de 2 e obtén \lambda ^{2}.

$$191\lambda ^{2}+\left(-\lambda \right)\lambda ^{2}-12\left(-\lambda \right)\gamma$$

Multiplica -12 e -1 para obter 12.

$$191\lambda ^{2}+\left(-\lambda \right)\lambda ^{2}+12\lambda \gamma$$

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 1 e 2 para obter 3.

$$191\lambda ^{2}-\lambda ^{3}+12\lambda \gamma$$

Expandir

$$12\gamma \lambda -\lambda ^{3}+191\lambda ^{2}$$

Pasos da solución

Usa a propiedade distributiva para multiplicar -\lambda por 191-\lambda .

$$\left(-\lambda \right)\left(191\left(-\lambda \right)-\left(-\lambda \right)\lambda -3\gamma \times 2^{2}\right)$$

Multiplica -1 e -1 para obter 1.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda \lambda -3\gamma \times 2^{2}\right)$$

Multiplica \lambda e \lambda para obter \lambda ^{2}.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-3\gamma \times 2^{2}\right)$$

Calcula 2 á potencia de 2 e obtén 4.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-3\gamma \times 4\right)$$

Multiplica 3 e 4 para obter 12.

$$\left(-\lambda \right)\left(191\left(-\lambda \right)+\lambda ^{2}-12\gamma \right)$$

Usa a propiedade distributiva para multiplicar -\lambda por 191\left(-\lambda \right)+\lambda ^{2}-12\gamma .

$$191\left(-\lambda \right)^{2}+\left(-\lambda \right)\lambda ^{2}-12\left(-\lambda \right)\gamma$$

Calcula -\lambda á potencia de 2 e obtén \lambda ^{2}.

$$191\lambda ^{2}+\left(-\lambda \right)\lambda ^{2}-12\left(-\lambda \right)\gamma$$

Multiplica -12 e -1 para obter 12.

$$191\lambda ^{2}+\left(-\lambda \right)\lambda ^{2}+12\lambda \gamma$$

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 1 e 2 para obter 3.

$$191\lambda ^{2}-\lambda ^{3}+12\lambda \gamma$$