Question

Factor the expression.
4xy + 18ry²

Answer 1

2y ( 2x + 9ry)

Explanation:

A.) Find the greatest common factor and factor out:

(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )

or

B.) Expand each expression:

4xy = ( 2 x 2 x X x y )

18ry^2 = ( 2 x 3 x 3 x r x y x y )

( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )

Then, take out like terms and put the expanded factors back together:

2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )

Hope this helps!