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

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

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

factor

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

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

Solution steps

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

Group by common factors

= 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})

4 - \frac{2}{3} x > 2 - x

27 \cdot 4

(\frac{1}{x ^{2} - 2 x - 63})^{\frac{1}{2}}

- 2 ∣ 3 x - 2 ∣ \leq - 10

2 y - 3 = 15

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