Solve (8x-7)(-7x-4)+(8x-7)(8x+4)

$$( 8 x - 7 ) ( - 7 x - 4 ) + ( 8 x - 7 ) ( 8 x + 4 )$$

Evaluate

$$x\left(8x-7\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 8x-7 by each term of -7x-4.

$$-56x^{2}-32x+49x+28+\left(8x-7\right)\left(8x+4\right)$$

Combine -32x and 49x to get 17x.

$$-56x^{2}+17x+28+\left(8x-7\right)\left(8x+4\right)$$

Apply the distributive property by multiplying each term of 8x-7 by each term of 8x+4.

$$-56x^{2}+17x+28+64x^{2}+32x-56x-28$$

Combine 32x and -56x to get -24x.

$$-56x^{2}+17x+28+64x^{2}-24x-28$$

Combine -56x^{2} and 64x^{2} to get 8x^{2}.

$$8x^{2}+17x+28-24x-28$$

Combine 17x and -24x to get -7x.

$$8x^{2}-7x+28-28$$

Subtract 28 from 28 to get 0.

$$8x^{2}-7x$$

Expand

$$8x^{2}-7x$$

Solution Steps

Apply the distributive property by multiplying each term of 8x-7 by each term of -7x-4.

$$-56x^{2}-32x+49x+28+\left(8x-7\right)\left(8x+4\right)$$

Combine -32x and 49x to get 17x.

$$-56x^{2}+17x+28+\left(8x-7\right)\left(8x+4\right)$$

Apply the distributive property by multiplying each term of 8x-7 by each term of 8x+4.

$$-56x^{2}+17x+28+64x^{2}+32x-56x-28$$

Combine 32x and -56x to get -24x.

$$-56x^{2}+17x+28+64x^{2}-24x-28$$

Combine -56x^{2} and 64x^{2} to get 8x^{2}.

$$8x^{2}+17x+28-24x-28$$

Combine 17x and -24x to get -7x.

$$8x^{2}-7x+28-28$$

Subtract 28 from 28 to get 0.

$$8x^{2}-7x$$