Which of the binomials below is a factor of this exression? 16x^2+40xy+25y^2 a.4x-5y b. 2x-5y c.4x+5y d.2x+5y

C. 4x+5y

Step-by-step explanation:

Lets start by factorizing the expression 16x²+40xy+25y²

Consider the expression ax²+bx+c

During factorization, two numbers picked should add up to b while the product should be=ac

We find two numbers that when added give 40 and when multiplied = 16×25=400

These numbers are 20 and 20

Therefore the expression will be broken into:

16x²+20xy+20xy+25y²

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

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

The expression is a perfect square.

step-by-step explanation:

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1