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

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

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

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

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

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}

\frac{2 π}{2.5}

9 7^{2}

- 8 + (- 1)

\frac{250}{4}

(3 - c^{2} d) (4 - 4 c^{2} d)

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