What is ((m-n)^3)/(-(m-n)^2) ?

The solution to ((m-n)^3)/(-(m-n)^2) is -m+n

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simplify ((m-n)^3)/(-(m-n)^2)

simplify

\frac{( m - n ) ^{3}}{- ( m - n ) ^{2}}

- m + n

Solution steps

\frac{( m - n ) ^{3}}{- ( m - n ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(m - n)^{3} = (m - n)^{2} (m - n)

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

Cancel the common factor:

(m - n)^{2}

= \frac{m - n}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (m - n)

Simplify

- (m - n) : - m + n

= - m + n

(5 x + 6 y) - (7 x - 8 y)

(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4}) + y^{8}

6 \cdot 21

(4 - 6 i) - (3 - 4 i)