Question

Which of the binomials below is a factor of this expression?

49x^2 + 28xy + 4y^2

A. 7x + 4y

B. 7x + 2y

C. 7x - 2y

D. 7x - 4y

Answer 1

B. 7x+2y

Explanation:

`49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)`