Solve (w+2)(w-7)+(4w+3)(w-7)

$$( w + 2 ) ( w - 7 ) + ( 4 w + 3 ) ( w - 7 )$$

Evaluate

$$5\left(w-7\right)\left(w+1\right)$$

Solution Steps

Apply the distributive property by multiplying each term of w+2 by each term of w-7.

$$w^{2}-7w+2w-14+\left(4w+3\right)\left(w-7\right)$$

Combine -7w and 2w to get -5w.

$$w^{2}-5w-14+\left(4w+3\right)\left(w-7\right)$$

Apply the distributive property by multiplying each term of 4w+3 by each term of w-7.

$$w^{2}-5w-14+4w^{2}-28w+3w-21$$

Combine -28w and 3w to get -25w.

$$w^{2}-5w-14+4w^{2}-25w-21$$

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

$$5w^{2}-5w-14-25w-21$$

Combine -5w and -25w to get -30w.

$$5w^{2}-30w-14-21$$

Subtract 21 from -14 to get -35.

$$5w^{2}-30w-35$$

Expand

$$5w^{2}-30w-35$$

Solution Steps

Apply the distributive property by multiplying each term of w+2 by each term of w-7.

$$w^{2}-7w+2w-14+\left(4w+3\right)\left(w-7\right)$$

Combine -7w and 2w to get -5w.

$$w^{2}-5w-14+\left(4w+3\right)\left(w-7\right)$$

Apply the distributive property by multiplying each term of 4w+3 by each term of w-7.

$$w^{2}-5w-14+4w^{2}-28w+3w-21$$

Combine -28w and 3w to get -25w.

$$w^{2}-5w-14+4w^{2}-25w-21$$

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

$$5w^{2}-5w-14-25w-21$$

Combine -5w and -25w to get -30w.

$$5w^{2}-30w-14-21$$

Subtract 21 from -14 to get -35.

$$5w^{2}-30w-35$$