If x is a real number, find x^2+2x(5-x)+(5-x)^2.

jmc

algebra intermediate

Problem

x

is a real number, find

x^{2} + 2 x (5 - x) + (5 - x)^{2}

Solution

x^{2} + 2 x (5 - x) + (5 - x)^{2} = [x + (5 - x)]^{2} = 5^{2} = 25

Final answer