Solve (r^2-5)^2=

$$( r ^ { 2 } - 5 ) ^ { 2 } =$$

Evaluate

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

Solution Steps

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

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

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

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

Expand

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

Solution Steps

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

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

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

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