Solve (x+5)(x+4)+(x-3)(x+4)

$$( x + 5 ) ( x + 4 ) + ( x - 3 ) ( x + 4 )$$

Evaluate

$$2\left(x+1\right)\left(x+4\right)$$

Solution Steps

Apply the distributive property by multiplying each term of x+5 by each term of x+4.

$$x^{2}+4x+5x+20+\left(x-3\right)\left(x+4\right)$$

Combine 4x and 5x to get 9x.

$$x^{2}+9x+20+\left(x-3\right)\left(x+4\right)$$

Apply the distributive property by multiplying each term of x-3 by each term of x+4.

$$x^{2}+9x+20+x^{2}+4x-3x-12$$

Combine 4x and -3x to get x.

$$x^{2}+9x+20+x^{2}+x-12$$

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

$$2x^{2}+9x+20+x-12$$

Combine 9x and x to get 10x.

$$2x^{2}+10x+20-12$$

Subtract 12 from 20 to get 8.

$$2x^{2}+10x+8$$

Expand

$$2x^{2}+10x+8$$

Solution Steps

Apply the distributive property by multiplying each term of x+5 by each term of x+4.

$$x^{2}+4x+5x+20+\left(x-3\right)\left(x+4\right)$$

Combine 4x and 5x to get 9x.

$$x^{2}+9x+20+\left(x-3\right)\left(x+4\right)$$

Apply the distributive property by multiplying each term of x-3 by each term of x+4.

$$x^{2}+9x+20+x^{2}+4x-3x-12$$

Combine 4x and -3x to get x.

$$x^{2}+9x+20+x^{2}+x-12$$

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

$$2x^{2}+9x+20+x-12$$

Combine 9x and x to get 10x.

$$2x^{2}+10x+20-12$$

Subtract 12 from 20 to get 8.

$$2x^{2}+10x+8$$