What is factor (x^2+xy^2)^2-(xy-y^2)^2 ?

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

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

factor

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

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

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

5 + 3 x \leq 2 or 2 x - 7 > 1

3 a^{2} + 8 a + 4

2 x - 5 > - 6

(6 x - 7)^{2} + 4 = 21

0 = - \frac{41 t}{1000}

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