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

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

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

simplify

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

\frac{m - n}{m + n}

Solution steps

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

m - n

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

(k + 1) (k + 1)!

4 \cdot 0

\frac{2}{5} \div \frac{4}{5}

\frac{20 t ^{2}}{( 5 t ) ^{2}}

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