Solve {left((x^3+4)(x^2-1)right)}^frac{3{4}}

$${ \left(( { x }^{ 3 } +4)( { x }^{ 2 } -1) \right) }^{ \frac{ 3 }{ 4 } }$$

Evaluate

$$\left(\left(x^{2}-1\right)\left(x^{3}+4\right)\right)^{\frac{3}{4}}$$

Solution Steps

Use the distributive property to multiply x^{3}+4 by x^{2}-1.

$$\left(x^{5}-x^{3}+4x^{2}-4\right)^{\frac{3}{4}}$$

Factor

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