Solve 6{x}^frac{1{2}}(x^2+x)-{8}^frac{3{2}}-8{x}^frac{1{2}}

$$6 { x }^{ \frac{ 1 }{ 2 } } ( { x }^{ 2 } +x)- { 8 }^{ \frac{ 3 }{ 2 } } -8 { x }^{ \frac{ 1 }{ 2 } }$$

Factor

$$2\left(3\left(x+1\right)x^{\frac{3}{2}}-4\sqrt{x}-8\sqrt{2}\right)$$

Solution Steps

Factor out 2.

$$2\left(3\sqrt{x}\left(x^{2}+x\right)-8\sqrt{2}-4\sqrt{x}\right)$$

Evaluate

$$2\left(3\left(x+1\right)x^{\frac{3}{2}}-4\sqrt{x}-8\sqrt{2}\right)$$