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

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

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

simplify

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

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

Solution steps

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

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}

- 8^{2}

(9 - 4 i)^{2}

\frac{2 x}{3 x ^{2}}

- (8 a - 0.2)

1 \frac{5}{12} \cdot 2

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