Solve left(x+9right)left(x+8right)left(x+7right)

$$\left( x+9 \right) \left( x+8 \right) \left( x+7 \right)$$

Evaluate

$$\left(x+7\right)\left(x+8\right)\left(x+9\right)$$

Solution Steps

Apply the distributive property by multiplying each term of x+9 by each term of x+8.

$$\left(x^{2}+8x+9x+72\right)\left(x+7\right)$$

Combine 8x and 9x to get 17x.

$$\left(x^{2}+17x+72\right)\left(x+7\right)$$

Apply the distributive property by multiplying each term of x^{2}+17x+72 by each term of x+7.

$$x^{3}+7x^{2}+17x^{2}+119x+72x+504$$

Combine 7x^{2} and 17x^{2} to get 24x^{2}.

$$x^{3}+24x^{2}+119x+72x+504$$

Combine 119x and 72x to get 191x.

$$x^{3}+24x^{2}+191x+504$$

Expand

$$x^{3}+24x^{2}+191x+504$$

Solution Steps

Apply the distributive property by multiplying each term of x+9 by each term of x+8.

$$\left(x^{2}+8x+9x+72\right)\left(x+7\right)$$

Combine 8x and 9x to get 17x.

$$\left(x^{2}+17x+72\right)\left(x+7\right)$$

Apply the distributive property by multiplying each term of x^{2}+17x+72 by each term of x+7.

$$x^{3}+7x^{2}+17x^{2}+119x+72x+504$$

Combine 7x^{2} and 17x^{2} to get 24x^{2}.

$$x^{3}+24x^{2}+119x+72x+504$$

Combine 119x and 72x to get 191x.

$$x^{3}+24x^{2}+191x+504$$