What is factor a^5-b^5 ?

The solution to factor a^5-b^5 is (a-b)(a^4+a^3b+a^2b^2+ab^3+b^4)

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factor a^5-b^5

factor

a^{5} - b^{5}

(a - b) (a^{4} + a^{3} b + a^{2} b^{2} + a b^{3} + b^{4})

Solution steps

a^{5} - b^{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

a^{5} - b^{5} = (a - b) (a^{4} + a^{3} b + a^{2} b^{2} + a b^{3} + b^{4})

= (a - b) (a^{4} + a^{3} b + a^{2} b^{2} + a b^{3} + b^{4})

x^{3} + 9 x^{2} + 24 x + 20

4 + 23 i

- \frac{x}{5} + 6 > - 3

a^{2} + 11 a + 30

12 \cdot \frac{3}{4}

What is factor a^5-b^5 ?
The solution to factor a^5-b^5 is (a-b)(a^4+a^3b+a^2b^2+ab^3+b^4)