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

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

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

factor

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

(x + y)^{3} (x - y)

Solution steps

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

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

Factor

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

Factor

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

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

Simplify

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

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

(x - 8) (x + 1) = 0

4 - x \leq - (1 + 8 x)

2^{20}

- 2 - 7

∣ 4 + 3 x ∣ \leq 9

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