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.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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step-by-step explanation: