Solve (1-lambda)(-1-lambda)(2-lambda)=

$$( 1 - \lambda ) ( - 1 - \lambda ) ( 2 - \lambda ) =$$

Evaluate

$$\left(2-\lambda \right)\left(\lambda ^{2}-1\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 1-\lambda by each term of -1-\lambda .

$$\left(-1-\lambda +\lambda +\lambda ^{2}\right)\left(2-\lambda \right)$$

Combine -\lambda and \lambda to get 0.

$$\left(-1+\lambda ^{2}\right)\left(2-\lambda \right)$$

Apply the distributive property by multiplying each term of -1+\lambda ^{2} by each term of 2-\lambda .

$$-2+\lambda +2\lambda ^{2}-\lambda ^{3}$$

Expand

$$-\lambda ^{3}+2\lambda ^{2}+\lambda -2$$

Solution Steps

Apply the distributive property by multiplying each term of 1-\lambda by each term of -1-\lambda .

$$\left(-1-\lambda +\lambda +\lambda ^{2}\right)\left(2-\lambda \right)$$

Combine -\lambda and \lambda to get 0.

$$\left(-1+\lambda ^{2}\right)\left(2-\lambda \right)$$

Apply the distributive property by multiplying each term of -1+\lambda ^{2} by each term of 2-\lambda .

$$-2+\lambda +2\lambda ^{2}-\lambda ^{3}$$