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37 votes
37 votes
Factorise: x^3 + x^2 + x^2y + xy + y

Plz also show me the process.

User Cyberbikepunk
by
3.3k points

1 Answer

8 votes
8 votes
Factor out the greatest common factor from each group.
x^2 (x-1y)-y^2(x-y)

Factor the polynomial by factoring out the greatest common factor, x-1y
(x-1y)(x^2-y^2)

rewrite -1y as -y.
(x-y) (x^2-y^2)

Factor.
(x-y)(x+y)(x-y)

Combine exponents.
(x-y)^2 (x+y) (your answer)

really hoped this helped. :)




User Aakash Bansal
by
2.9k points