Factor x^4 + x y^3 + x^3 + y^3 completely. First factor out a monomial.

Question

campbell_st · Answer

well start by grouping in pairs

$$(x^4 + x^3) + (xy^3 + y^3)$$

remove some common factors... what do you get...

anonymous · Answer

im new to this. x^4 + x^2

anonymous · Answer

?

campbell_st · Answer

well if you look at 

$$(x^4 + x^3)$$

then the common factor is x^3

so its written as 

$$x^3(x + 1)$$

you try and find the common factor in the other 2 terms

anonymous · Answer

xy^2 + y^2           the common factor is 1.           xy(y+1)

campbell_st · Answer

nope.... have a look at what appears in 

$$xy^3... and... y^3$$

anonymous · Answer

x(y+y) ?

campbell_st · Answer

nope.... a common factor... is something that is in both terms... 

have a look at the one I did...

anonymous · Answer

the only common factor I see is y^2