factor by grouping: x^3y^2 - 3 - 3y^2 + x^3

[jshaziza]

I am having trouble working out the following:

Factor by grouping: x^3y^2 - 3 - 3y^2 + x^3

I tried taking x^3y^2 as one group and putting it with -3y^2 and then pairing the other two but it didn't work out, and than I switched a couple more times but can't seem to get it, if anyone can help figure it out that would be great. thx

 

[skeeter]

x^3y^2 - 3 - 3y^2 + x^3

rearrange ...

x³y² + x³ - 3y² - 3

x³(y² + 1) - 3(y² + 1)

(y² + 1)(x³ - 3)

 

[Denis]

Re: factor by grouping

I am having trouble working out x^3y^2-3-3y^2+x^3.

x^3y^2 - 3y^2 + x^3 - 3
y^2(x^3 - 3) + (x^3 - 3)
(x^3 - 3)(y^2 + 1)