Solve p^2-(r-5)^2=

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

Evaluate

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

Solution Steps

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

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

To find the opposite of r^{2}-10r+25, find the opposite of each term.

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

Expand

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

Solution Steps

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

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

To find the opposite of r^{2}-10r+25, find the opposite of each term.

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