What is expand ((3x-2y)*x)/2 ?

The solution to expand ((3x-2y)*x)/2 is (3x^2)/2-xy

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expand ((3x-2y)*x)/2

expand

\frac{( 3 x - 2 y ) \cdot x}{2}

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

Solution steps

\frac{( 3 x - 2 y ) x}{2}

Expand

(3 x - 2 y) x : 3 x^{2} - 2 x y

= \frac{3 x ^{2} - 2 x y}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 2 x y}{2} = \frac{3 x ^{2}}{2} - \frac{2 x y}{2}

= \frac{3 x ^{2}}{2} - \frac{2 x y}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{3 x ^{2}}{2} - x y

\frac{2}{s ( s + 2 ) ( s ^{2} + s + 1 )}

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

\frac{2 ( 106 - 9 )}{25}

\frac{s + 4}{s ( s + 2 ) ^{2} ( s + 5 )}

2 [e^{2 x + 2 y^{2}} + x] d x + [4 ye x p (2 x + 2 y^{2}) + 1] d y

What is expand ((3x-2y)*x)/2 ?
The solution to expand ((3x-2y)*x)/2 is (3x^2)/2-xy