Solve 2x^2+3left(x^2right)^3

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

Factor

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

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$factor(2x^{2}+3x^{6})$$

Factor out x^{2}. Polynomial 2+3x^{4} is not factored since it does not have any rational roots.

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

Evaluate

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

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$2x^{2}+3x^{6}$$