What is factor x^5-y^5 ?

The solution to factor x^5-y^5 is (x-y)(x^4+x^3y+x^2y^2+xy^3+y^4)

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factor x^5-y^5

factor

x^{5} - y^{5}

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

Solution steps

x^{5} - y^{5}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

x^{5} - y^{5} = (x - y) (x^{4} + x^{3} y + x^{2} y^{2} + x y^{3} + y^{4})

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

- 36 + 36

\frac{12 x ^{5} y ^{7}}{4 x ^{6} y ^{3}}

2 x + 20 = 4 x - 6

∣ 2 n + 1 ∣ = 0

y^{2} - 28 = 3 y

What is factor x^5-y^5 ?
The solution to factor x^5-y^5 is (x-y)(x^4+x^3y+x^2y^2+xy^3+y^4)