What is factor ((m^6-n^6))/((m-n)) ?

The solution to factor ((m^6-n^6))/((m-n)) is (m+n)(m^2-mn+n^2)(m^2+mn+n^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor ((m^6-n^6))/((m-n))

factor

\frac{( m ^{6} - n ^{6} )}{( m - n )}

(m + n) (m^{2} - mn + n^{2}) (m^{2} + mn + n^{2})

Solution steps

\frac{m ^{6} - n ^{6}}{m - n}

Factor

m^{6} - n^{6} : (m + n) (m^{2} - mn + n^{2}) (m - n) (m^{2} + mn + n^{2})

= \frac{( m + n ) ( m ^{2} - mn + n ^{2} ) ( m - n ) ( m ^{2} + mn + n ^{2} )}{m - n}

Cancel the common factor:

m - n

= (m + n) (m^{2} - mn + n^{2}) (m^{2} + mn + n^{2})

\frac{6 n ^{2} + 8 n + 2}{2 n ^{2} - 2}

5 \cdot 3 \cdot 2

3 x - 5 \geq 8 x + 7

100 a^{2} - 81 b^{2}

x^{3} + 13 x^{2} + 34 x - 48

What is factor ((m^6-n^6))/((m-n)) ?
The solution to factor ((m^6-n^6))/((m-n)) is (m+n)(m^2-mn+n^2)(m^2+mn+n^2)