Solve left(5-6x^8right)^2

$${ \left(5-6 { x }^{ 8 } \right) }^{ 2 }$$

Expand

$$36x^{16}-60x^{8}+25$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5-6x^{8}\right)^{2}.

$$25-60x^{8}+36\left(x^{8}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$25-60x^{8}+36x^{16}$$

Evaluate

$$\left(5-6x^{8}\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5-6x^{8}\right)^{2}.

$$25-60x^{8}+36\left(x^{8}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$25-60x^{8}+36x^{16}$$