Solve (1)(a-b)(a^2+ab+b^2)

$$( 1 ) ( a - b ) ( a ^ { 2 } + a b + b ^ { 2 } )$$

Evaluate

$$a^{3}-b^{3}$$

Solution Steps

Use the distributive property to multiply 1 by a-b.

$$\left(a-b\right)\left(a^{2}+ab+b^{2}\right)$$

Use the distributive property to multiply a-b by a^{2}+ab+b^{2} and combine like terms.

$$a^{3}-b^{3}$$

Expand

$$a^{3}-b^{3}$$

Solution Steps

Use the distributive property to multiply 1 by a-b.

$$\left(a-b\right)\left(a^{2}+ab+b^{2}\right)$$

Use the distributive property to multiply a-b by a^{2}+ab+b^{2} and combine like terms.

$$a^{3}-b^{3}$$