What is factor a^7-b^7 ?

The solution to factor a^7-b^7 is (a-b)(a^6+a^5b+a^4b^2+a^3b^3+a^2b^4+ab^5+b^6)

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factor a^7-b^7

factor

a^{7} - b^{7}

(a - b) (a^{6} + a^{5} b + a^{4} b^{2} + a^{3} b^{3} + a^{2} b^{4} + a b^{5} + b^{6})

Solution steps

a^{7} - b^{7}

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^{7} - b^{7} = (a - b) (a^{6} + a^{5} b + a^{4} b^{2} + a^{3} b^{3} + a^{2} b^{4} + a b^{5} + b^{6})

= (a - b) (a^{6} + a^{5} b + a^{4} b^{2} + a^{3} b^{3} + a^{2} b^{4} + a b^{5} + b^{6})

(- 3) - (- 2)

39 \cdot 4

- 4. 9^{2}

(4 t + 6)^{2}

(2 a + 5 b)^{3}

What is factor a^7-b^7 ?
The solution to factor a^7-b^7 is (a-b)(a^6+a^5b+a^4b^2+a^3b^3+a^2b^4+ab^5+b^6)