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

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

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

simplify

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

x + y

Solution steps

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

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}

Cancel the common factor:

x - y

= x + y

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

\frac{14}{( x ^{2} - 4 )} - \frac{( 6 - x )}{( x + 2 )}

(2 x)^{2} (x - x^{2}) - 4 x (- x^{3} + x^{2} - 5)

x^{2} + \frac{1}{7} x + \frac{1}{7}

(3 \cdot \frac{a}{2} + \frac{b}{4} - 2 c)^{2}