Solve (x^2-27)(x+27)(x-1)

$$( { x }^{ 2 } -27)(x+27)(x-1)$$

Evaluate

$$\left(x-1\right)\left(x+27\right)\left(x^{2}-27\right)$$

Solution Steps

Use the distributive property to multiply x^{2}-27 by x+27.

$$\left(x^{3}+27x^{2}-27x-729\right)\left(x-1\right)$$

Use the distributive property to multiply x^{3}+27x^{2}-27x-729 by x-1 and combine like terms.

$$x^{4}+26x^{3}-54x^{2}-702x+729$$

Expand

$$x^{4}+26x^{3}-54x^{2}-702x+729$$

Solution Steps

Use the distributive property to multiply x^{2}-27 by x+27.

$$\left(x^{3}+27x^{2}-27x-729\right)\left(x-1\right)$$

Use the distributive property to multiply x^{3}+27x^{2}-27x-729 by x-1 and combine like terms.

$$x^{4}+26x^{3}-54x^{2}-702x+729$$