Question

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

Answer 1

c

Explanation:

a p e x

Answer 2

C. 4x+5y

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.