What is expand (3(x^2-5x)+2)/2 ?

The solution to expand (3(x^2-5x)+2)/2 is (3x^2)/2-(15x)/2+1

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expand (3(x^2-5x)+2)/2

expand

\frac{3 ( x ^{2} - 5 x ) + 2}{2}

\frac{3 x ^{2}}{2} - \frac{15 x}{2} + 1

Solution steps

\frac{3 ( x ^{2} - 5 x ) + 2}{2}

Expand

3 (x^{2} - 5 x) + 2 : 3 x^{2} - 15 x + 2

= \frac{3 x ^{2} - 15 x + 2}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 15 x + 2}{2} = \frac{3 x ^{2}}{2} - \frac{15 x}{2} + \frac{2}{2}

= \frac{3 x ^{2}}{2} - \frac{15 x}{2} + \frac{2}{2}

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{3 x ^{2}}{2} - \frac{15 x}{2} + 1

2 (x^{2} - 3 x + 8)^{2}

\frac{3}{( 3 x + c ) ^{3}}

x (y) δ (y - 5)

A (2, - 1) B (5, 4)

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

What is expand (3(x^2-5x)+2)/2 ?
The solution to expand (3(x^2-5x)+2)/2 is (3x^2)/2-(15x)/2+1