Solve left(x-2right)(7x+1)(x^2-1)

$$\left( x-2 \right) (7x+1)( { x }^{ 2 } -1)$$

Expand

$$7x^{4}-13x^{3}-9x^{2}+13x+2$$

Solution Steps

Use the distributive property to multiply x-2 by 7x+1 and combine like terms.

$$\left(7x^{2}-13x-2\right)\left(x^{2}-1\right)$$

Use the distributive property to multiply 7x^{2}-13x-2 by x^{2}-1 and combine like terms.

$$7x^{4}-9x^{2}-13x^{3}+13x+2$$

Evaluate

$$\left(x-2\right)\left(7x+1\right)\left(x^{2}-1\right)$$

Solution Steps

Use the distributive property to multiply x-2 by 7x+1 and combine like terms.

$$\left(7x^{2}-13x-2\right)\left(x^{2}-1\right)$$

Use the distributive property to multiply 7x^{2}-13x-2 by x^{2}-1 and combine like terms.

$$7x^{4}-9x^{2}-13x^{3}+13x+2$$