What is factor m^7-n^7x^7 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor m^7-n^7x^7

factor

m^{7} - n^{7} x^{7}

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

Solution steps

m^{7} - n^{7} x^{7}

Rewrite

n^{7} x^{7}

(n x)^{7}

= m^{7} - (n x)^{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})

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

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

Simplify

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

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

\frac{x ^{2} + 3 x + 2}{x - 2}

[(x^{2} + 2) - x] [(x^{2} + 2) + x]

- 4 e^{- 2 x^{2}} x + 4 x y

2 \cdot (x \cdot y)

- 3 + 33

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