What is ((x-y)^2)/(x^2-y^2) ?

The solution to ((x-y)^2)/(x^2-y^2) is (x-y)/(x+y)

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simplify ((x-y)^2)/(x^2-y^2)

simplify

\frac{( x - y ) ^{2}}{x ^{2} - y ^{2}}

\frac{x - y}{x + y}

Solution steps

\frac{( x - y ) ^{2}}{x ^{2} - y ^{2}}

Apply Difference of Two Squares Formula:

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

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

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

Apply exponent rule:

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

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

= \frac{( x - y ) ( x - y )}{( x + y ) ( x - y )}

Cancel the common factor:

x - y

= \frac{x - y}{x + y}

- 1 \cdot (- x^{2})

- 1 + 3 (m + 4)

\frac{- 5}{0}

\frac{( 3 + x ) ^{- 1} - 3 ^{- 1}}{x}

(a + d) (b + c) (d + c) (a + b)

What is ((x-y)^2)/(x^2-y^2) ?
The solution to ((x-y)^2)/(x^2-y^2) is (x-y)/(x+y)