Question

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

Answer 1

well start by grouping in pairs

\[(x^4 + x^3) + (xy^3 + y^3)\]

remove some common factors... what do you get...

Answer 2

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

Answer 3

?

Answer 4

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

Answer 5

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

Answer 6

nope.... have a look at what appears in

\[xy^3... and... y^3\]

Answer 7

x(y+y) ?

Answer 8

nope.... a common factor... is something that is in both terms...

have a look at the one I did...

Answer 9

the only common factor I see is y^2