Solve left(5-xxright)^2

$${ \left(5-xx \right) }^{ 2 }$$

Evaluate

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

Solution Steps

Multiply x and x to get x^{2}.

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

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

$$25-10x^{2}+\left(x^{2}\right)^{2}$$

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

$$25-10x^{2}+x^{4}$$

Expand

$$x^{4}-10x^{2}+25$$

Solution Steps

Multiply x and x to get x^{2}.

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

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

$$25-10x^{2}+\left(x^{2}\right)^{2}$$

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

$$25-10x^{2}+x^{4}$$