Factor x^4 + xy^3 + x^3 + y^3. hint, first factor a monomial. explain !

Pull an x from the first two terms

x(x^3 + y^3) + (x^3 + y^3)   Now x^3 + y^3 is a common factor.

(x^3 + y^3)*(x + 1) That should be far enough. It can be factored further by factoring (x^3 + y^3) but there is no point because you can't do anything after that. But in case you want to know how x^3 + y^3 factors

(x^3 + y^3) = (x + y)(x^2 - xy + y^2)

Which means you could write original polynomial as

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

Part B

You factored the x out of xy^3 so that you would have a common factor (x^3 + y^3) to pull out as a common factor for the whole polynomial.

4

step-by-step explanation:

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step-by-step explanation: