What is ((m+n)/7)^3((m-n)/7) ?

The solution to ((m+n)/7)^3((m-n)/7) is ((m+n)^3(m-n))/(2401)

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simplify ((m+n)/7)^3((m-n)/7)

simplify

(\frac{m + n}{7})^{3} (\frac{m - n}{7})

\frac{( m + n ) ^{3} ( m - n )}{2401}

Solution steps

(\frac{m + n}{7})^{3} (\frac{m - n}{7})

Apply rule:

(a) = a

(\frac{m - n}{7}) = \frac{m - n}{7}

= (\frac{m + n}{7})^{3} \frac{m - n}{7}

Simplify

(\frac{m + n}{7})^{3} : \frac{( m + n ) ^{3}}{343}

= \frac{( m + n ) ^{3}}{343} \cdot \frac{m - n}{7}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( m + n ) ^{3} ( m - n )}{343 \cdot 7}

Multiply the numbers:

343 \cdot 7 = 2401

= \frac{( m + n ) ^{3} ( m - n )}{2401}

\frac{( 2 x ^{2} )}{( y ^{2} )} + 7 + \frac{( 5 y ^{2} )}{( x ^{2} )}

6 x - 12 y - 3

x^{4} - 3 x^{3} + 3 x - 1

\frac{( 15 x ^{7} )}{( 6 x ^{5} )}

(3 a)^{s}

What is ((m+n)/7)^3((m-n)/7) ?
The solution to ((m+n)/7)^3((m-n)/7) is ((m+n)^3(m-n))/(2401)