Solve -4-lambda(7-lambda)

$$- 4 - \lambda ( 7 - \lambda )$$

Evaluate

$$\lambda ^{2}-7\lambda -4$$

Solution Steps

Use the distributive property to multiply \lambda by 7-\lambda .

$$-4-\left(7\lambda -\lambda ^{2}\right)$$

To find the opposite of 7\lambda -\lambda ^{2}, find the opposite of each term.

$$-4-7\lambda -\left(-\lambda ^{2}\right)$$

The opposite of -\lambda ^{2} is \lambda ^{2}.

$$-4-7\lambda +\lambda ^{2}$$

Expand

$$\lambda ^{2}-7\lambda -4$$

Solution Steps

Use the distributive property to multiply \lambda by 7-\lambda .

$$-4-\left(7\lambda -\lambda ^{2}\right)$$

To find the opposite of 7\lambda -\lambda ^{2}, find the opposite of each term.

$$-4-7\lambda -\left(-\lambda ^{2}\right)$$

The opposite of -\lambda ^{2} is \lambda ^{2}.

$$-4-7\lambda +\lambda ^{2}$$