Solve (-x+4)(x+11)+(x^2-121)

$$( - x + 4 ) ( x + 11 ) + ( x ^ { 2 } - 121 )$$

Evaluate

$$-7x-77$$

Solution Steps

Use the distributive property to multiply -x+4 by x+11.

$$\left(-x\right)x+11\left(-x\right)+4x+44+x^{2}-121$$

Subtract 121 from 44 to get -77.

$$\left(-x\right)x+11\left(-x\right)+4x-77+x^{2}$$

Multiply x and x to get x^{2}.

$$-x^{2}+11\left(-1\right)x+4x-77+x^{2}$$

Multiply 11 and -1 to get -11.

$$-x^{2}-11x+4x-77+x^{2}$$

Combine -11x and 4x to get -7x.

$$-x^{2}-7x-77+x^{2}$$

Combine -x^{2} and x^{2} to get 0.

$$-7x-77$$

Expand

$$-7x-77$$

Solution Steps

Use the distributive property to multiply -x+4 by x+11.

$$\left(-x\right)x+11\left(-x\right)+4x+44+x^{2}-121$$

Subtract 121 from 44 to get -77.

$$\left(-x\right)x+11\left(-x\right)+4x-77+x^{2}$$

Multiply x and x to get x^{2}.

$$-x^{2}+11\left(-1\right)x+4x-77+x^{2}$$

Multiply 11 and -1 to get -11.

$$-x^{2}-11x+4x-77+x^{2}$$

Combine -11x and 4x to get -7x.

$$-x^{2}-7x-77+x^{2}$$

Combine -x^{2} and x^{2} to get 0.

$$-7x-77$$