Solve (x-6)(x+4)+(4x-1)(x-16)

$$( x - 6 ) ( x + 4 ) + ( 4 x - 1 ) ( x - 16 )$$

Evaluate

$$5x^{2}-67x-8$$

Solution Steps

Apply the distributive property by multiplying each term of x-6 by each term of x+4.

$$x^{2}+4x-6x-24+\left(4x-1\right)\left(x-16\right)$$

Combine 4x and -6x to get -2x.

$$x^{2}-2x-24+\left(4x-1\right)\left(x-16\right)$$

Apply the distributive property by multiplying each term of 4x-1 by each term of x-16.

$$x^{2}-2x-24+4x^{2}-64x-x+16$$

Combine -64x and -x to get -65x.

$$x^{2}-2x-24+4x^{2}-65x+16$$

Combine x^{2} and 4x^{2} to get 5x^{2}.

$$5x^{2}-2x-24-65x+16$$

Combine -2x and -65x to get -67x.

$$5x^{2}-67x-24+16$$

Add -24 and 16 to get -8.

$$5x^{2}-67x-8$$

Expand

$$5x^{2}-67x-8$$

Solution Steps

Apply the distributive property by multiplying each term of x-6 by each term of x+4.

$$x^{2}+4x-6x-24+\left(4x-1\right)\left(x-16\right)$$

Combine 4x and -6x to get -2x.

$$x^{2}-2x-24+\left(4x-1\right)\left(x-16\right)$$

Apply the distributive property by multiplying each term of 4x-1 by each term of x-16.

$$x^{2}-2x-24+4x^{2}-64x-x+16$$

Combine -64x and -x to get -65x.

$$x^{2}-2x-24+4x^{2}-65x+16$$

Combine x^{2} and 4x^{2} to get 5x^{2}.

$$5x^{2}-2x-24-65x+16$$

Combine -2x and -65x to get -67x.

$$5x^{2}-67x-24+16$$

Add -24 and 16 to get -8.

$$5x^{2}-67x-8$$