What is factor x^3+x^2y+xy^2+y^3 ?

The solution to factor x^3+x^2y+xy^2+y^3 is (x+y)(x^2+y^2)

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factor x^3+x^2y+xy^2+y^3

factor

x^{3} + x^{2} y + x y^{2} + y^{3}

(x + y) (x^{2} + y^{2})

Solution steps

x^{3} + x^{2} y + x y^{2} + y^{3}

= (x^{3} + x^{2} y) + (x y^{2} + y^{3})

Factor out

x^{2}

from

x^{3} + x^{2} y : x^{2} (x + y)

Factor out

y^{2}

from

x y^{2} + y^{3} : y^{2} (x + y)

= x^{2} (x + y) + y^{2} (x + y)

Factor out common term

x + y

= (x + y) (x^{2} + y^{2})

(x + 1)^{2} + 4 = 14

- \frac{1}{6} (2 u - 5) = 4 (- 2 u + 5)

x^{2} - 21 x + 90

\frac{3 ^{8}}{3 ^{6}}

- x^{4} + 17 x^{2} - 16

What is factor x^3+x^2y+xy^2+y^3 ?
The solution to factor x^3+x^2y+xy^2+y^3 is (x+y)(x^2+y^2)