How do you simplify (4x + 5)^2?

2 Answers
Mar 4, 2018

=16x^2+40x+25

Explanation:

(4x+5)^2

=(4x+5)(4x+5)

Distribute

=(4x)(4x)+(4x)(5)+(5)(4x)+(5)(5)

=16x^2+20x+20x+25

=16x^2+40x+25

Mar 4, 2018

16x^2+40x+25

Explanation:

This is a perfect square:

(a+b)^2=a^2+2ab+b^2

Plug in:

16x^2+2*4x*5+25

16x^2+40x+25

You could also write it out:

(4x+5)(4x+5)

16x^2+20x+20x+25

16x^2+40x+25