What is factor x^3+4x^2+x*y^2+4y^2 ?

The solution to factor x^3+4x^2+x*y^2+4y^2 is (x+4)(x^2+y^2)

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factor x^3+4x^2+x*y^2+4y^2

factor

x^{3} + 4 x^{2} + x \cdot y^{2} + 4 y^{2}

(x + 4) (x^{2} + y^{2})

Solution steps

x^{3} + 4 x^{2} + x y^{2} + 4 y^{2}

= (x^{3} + 4 x^{2}) + (x y^{2} + 4 y^{2})

Factor out

x^{2}

from

x^{3} + 4 x^{2} : x^{2} (x + 4)

Factor out

y^{2}

from

x y^{2} + 4 y^{2} : y^{2} (x + 4)

= x^{2} (x + 4) + y^{2} (x + 4)

Factor out common term

x + 4

= (x + 4) (x^{2} + y^{2})

(4 x y^{2})^{- 3}

(b) \cdot 52 \cdot (3 + 2) \cdot (5 + 2)

s^{- 2}

[\frac{1}{4} \cdot a - \frac{1}{2} \cdot b + 1]^{2}

(8 x^{3})^{\frac{1}{3}}

What is factor x^3+4x^2+x*y^2+4y^2 ?
The solution to factor x^3+4x^2+x*y^2+4y^2 is (x+4)(x^2+y^2)