Solve 45x^2+72left(x^2right)^2

$$45 { x }^{ 2 } +72 { \left( { x }^{ 2 } \right) }^{ 2 }$$

Factor

$$9x^{2}\left(8x^{2}+5\right)$$

Solution Steps

Factor out common term x^{2} by using distributive property.

$$x^{2}\left(45+72x^{2}\right)$$

Consider 45+72x^{2}. Factor out 9.

$$9\left(5+8x^{2}\right)$$

Rewrite the complete factored expression. Simplify. Polynomial 5+8x^{2} is not factored since it does not have any rational roots.

$$9x^{2}\left(5+8x^{2}\right)$$

Evaluate

$$72x^{4}+45x^{2}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$45x^{2}+72x^{4}$$