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

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

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

simplify

\frac{m ^{2} - n ^{2}}{m + n}

m - n

Solution steps

\frac{m ^{2} - n ^{2}}{m + n}

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 ) ( m - n )}{m + n}

Cancel the common factor:

m + n

= m - n

(4 - x) (3 - x)

m^{2} + 7 m + 6

+ 3 + (- 4)

(s - 2) (s - 3)

(s - 2) (s - 1)