Solve 3(x^6-1)(x^4+x^3-x-1)=

$$3 ( x ^ { 6 } - 1 ) ( x ^ { 4 } + x ^ { 3 } - x - 1 ) =$$

Evaluate

$$3\left(x^{2}-x+1\right)\left(\left(x^{2}-1\right)\left(x^{2}+x+1\right)\right)^{2}$$

Solution Steps

Use the distributive property to multiply 3 by x^{6}-1.

$$\left(3x^{6}-3\right)\left(x^{4}+x^{3}-x-1\right)$$

Use the distributive property to multiply 3x^{6}-3 by x^{4}+x^{3}-x-1.

$$3x^{10}+3x^{9}-3x^{7}-3x^{6}-3x^{4}-3x^{3}+3x+3$$

Expand

$$3x^{10}+3x^{9}-3x^{7}-3x^{6}-3x^{4}-3x^{3}+3x+3$$

Solution Steps

Use the distributive property to multiply 3 by x^{6}-1.

$$\left(3x^{6}-3\right)\left(x^{4}+x^{3}-x-1\right)$$

Use the distributive property to multiply 3x^{6}-3 by x^{4}+x^{3}-x-1.

$$3x^{10}+3x^{9}-3x^{7}-3x^{6}-3x^{4}-3x^{3}+3x+3$$