How do you simplify (x + 5)^2?

1 Answer
Aug 28, 2016

(x+5)=color(blue)(x^2+10x+25)

Explanation:

(x+5)^2 is a sum of squares, (a+b)^2=a^2+2ab+b^2, where a=x, and b=5.

Expand.

(x+5)^2=x^2+2(x)(5)+5^2

Simplify.

(x+5)=x^2+10x+25

You can also use the FOIL method to multiply two binomials.

![www.mesacc.eduwww.mesacc.edu)

(x+5)^2=(x+5)(x+5)

(x+5)(x+5)=x*x+x*5+5*x+5*5

Simplify.

(x+5)(x+5)=x^2+5x+5x+25

Simplify.

(x+5)(x+5)=x^2+10x+25