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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

\frac{m ^{2} - n ^{2}}{( m + 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 + 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{5 x}{2}

5 \times 8

lo g_{9} (\frac{1}{729})

(4 x^{2} + 6 x + 7) - (- 8 x^{2} - 2 x + 6)

(a^{x + 1} - 2 b^{x - 1}) (2 b^{x - 1} + a^{x + 1})

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