Find the Quotient of 20x^2y-88xy/-4xy

Question

jim_thompson5910 · Answer

The problem is this, right?

$$\Large \frac{20x^2y-88xy}{-4xy}$$

anonymous · Answer

Yes

jim_thompson5910 · Answer

we can factor out -4xy from the numerator

$$\Large \frac{20x^2y-88xy}{-4xy} = \frac{-4xy(-5x+22)}{-4xy} $$

what comes next?

anonymous · Answer

I'm having a very hard time understanding even from the beginning, if you can i would love for you to help explain it to me.

jim_thompson5910 · Answer

well I factored out -4xy because that's what is in the denominator

I want to cancel out the denominator

jim_thompson5910 · Answer

did you learn about factoring yet?

anonymous · Answer

i believe so but I'm not positive

jim_thompson5910 · Answer

the idea of factoring is to rewrite a number or expression as a product of two smaller things

jim_thompson5910 · Answer

ex:

27 = 9*3
16 = 8*2

anonymous · Answer

could possibly be 22x^2y^2+20x^2y

jim_thompson5910 · Answer

what do you mean?

anonymous · Answer

for the awnser i asked my mom and she said she thinks that is what it is

jim_thompson5910 · Answer

have you learned about the distributive property?

anonymous · Answer

is that not with (X)^Y

jim_thompson5910 · Answer

it's something like

2*(x+y) = 2*x + 2*y

anonymous · Answer

yeah i have

jim_thompson5910 · Answer

so when I factored back up at the top, I used the distributive property (in reverse)

jim_thompson5910 · Answer

if you have 2*x + 2*y

you can factor out 2 to get 2*(x+y)

jim_thompson5910 · Answer

same idea with your problem, but I pulled out -4xy

anonymous · Answer

okay im some what following lol

jim_thompson5910 · Answer

it turns out that -4xy is a common factor of 20x^2y and -88xy

jim_thompson5910 · Answer

|dw:1436404481447:dw|