What is factor m^7-n^7 ?

The solution to factor m^7-n^7 is (m-n)(m^6+m^5n+m^4n^2+m^3n^3+m^2n^4+mn^5+n^6)

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factor m^7-n^7

factor

m^{7} - n^{7}

(m - n) (m^{6} + m^{5} n + m^{4} n^{2} + m^{3} n^{3} + m^{2} n^{4} + m n^{5} + n^{6})

Solution steps

m^{7} - n^{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

m^{7} - n^{7} = (m - n) (m^{6} + m^{5} n + m^{4} n^{2} + m^{3} n^{3} + m^{2} n^{4} + m n^{5} + n^{6})

= (m - n) (m^{6} + m^{5} n + m^{4} n^{2} + m^{3} n^{3} + m^{2} n^{4} + m n^{5} + n^{6})

\frac{sin ( 3 x )}{cos ( x )}

56 t^{2} + 12 t + 90

a \cdot (4 x - 5)

(2 x y)^{0} + (2 x y)^{3} - x^{3} \cdot y^{3}

f (x) 2 x - 3

What is factor m^7-n^7 ?
The solution to factor m^7-n^7 is (m-n)(m^6+m^5n+m^4n^2+m^3n^3+m^2n^4+mn^5+n^6)