What is factor x^4-y^4 ?

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

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factor x^4-y^4

factor

x^{4} - y^{4}

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

Solution steps

x^{4} - y^{4}

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

2 n^{2} - 3 n - 9

- 6 v u^{2} - u v^{2} - 22 u^{2} v^{2}

16 x^{2} + 6 x - 110 = 0

9 n^{4} - 18 n^{3} + 27 n^{2}

∣ x + 8 ∣ + 8 \geq 4