Question

Factor: 6x + 9xy + 10y + 15y2


(5x + 3y)(2y + 3)


(3x + 5y)(3y + 2)


(5x - 3y)(2y - 3)


(3x - 5y)(2 - 3y)

Answer 1

start by grouping the terms into two groups

(6x + 9xy) + (10y + 15y2)

then factor each group, know where to go from here?

Answer 2

no i dont

Answer 3

factor the first group

(6x + 9xy)

what is the greatest common factor of 6x and 9xy?

Answer 4

3x

Answer 5

good, so (6x + 9xy) = 3x(2+3y)

now factor (10y + 15y2) using the same process

Answer 6

5y

Answer 7

good, so (10y + 15y2) = 5y(2+3y)

so far we have

5y(2+3y) + 3x(2+3y)

which equals (5y+3)(2+3y)

Answer 8

small typo

Answer 9

(5y+3x)(2+3y)

Answer 10

thanks pal