What is expand ((x-y)(x+y))/2 ?

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

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expand ((x-y)(x+y))/2

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

(1 + x^{2}) y^{'} (x) + 4 x y

\frac{3 ( 1 - y ) ^{2}}{2}

\frac{n ( 2 n + 1 ) ( 4 n + 1 )}{3}

(4 x^{2} - y^{2}) d x

(f \circ g) (2 - 8 x) (x^{3})

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