Question

Find the product of (x − 5)2.

x2 + 10x + 25

x2 − 10x + 25

x2 − 25

x2 + 25

Answer 1

(a-b)^2 = a2 - 2ab + b2

so (x − 5)2 = x2 − 10x + 25

Answer 2

(x-5)^2


(x-5)(x-5)


x*x+x*(-5)-5*x-5*(-5)


x^2-5x-5x+25


x^2-10x+25


So (x-5)^2 expands out to x^2-10x+25


In other words, (x-5)^2=x^2-10x+25 for all values of x.