Thread: Homework Help

What does 5(x)^2y(3x+2y)+15xy(3x+2y)(x-3y) factor out to?

Originally Posted by andy011789

What does 5(x)^2y(3x+2y)+15xy(3x+2y)(x-3y) factor out to?

what are the common terms you see here? pull them out, what do you get?

The common terms I see are the (3x+2y) which would leave (3x+2y)[(5x^2y+15xy(x-3y)], but I am not sure where to go from there. But then I also see there is 5xy, I am not sure what to do with it or where to put it. Unless I leave it how it is, but I don't think it is completely factored

Originally Posted by andy011789

The common terms I see are the (3x+2y) which would leave (3x+2y)[(5x^2y+15xy(x-3y)], but I am not sure where to go from there. But then I also see there is 5xy, I am not sure what to do with it or where to put it. Unless I leave it how it is, but I don't think it is completely factored

ok, so we see that 5xy is common also then. so pull that out. we get:



what else can we do here?

well there is still an x in each term in the brackets, so I would imagine we should take it out. but I am still not entirely sure what to do after that or if removing the x is valid. Which would leave x(5xy)(3x+2y)[3-3y]

Hello, Andy!

Factor: .

We have: .



The most obvious feature is the common factor

. . Factor it out: .


We see that both terms contain

. . Factor it out: .


Final answer: .

Thanks, that really helped seeing all the steps and following through with it. By chance is there anywhere on here to post homework with answers to see if its correct? I just wanna make sure I am doing everything right, because if I don't remember everything now. I am going to run into a whole lot of problems later with factoring.