What is expand (3(x^2-9x+20))/2 ?

The solution to expand (3(x^2-9x+20))/2 is (3x^2)/2-(27x)/2+30

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expand (3(x^2-9x+20))/2

expand

\frac{3 ( x ^{2} - 9 x + 20 )}{2}

\frac{3 x ^{2}}{2} - \frac{27 x}{2} + 30

Solution steps

\frac{3 ( x ^{2} - 9 x + 20 )}{2}

Expand

3 (x^{2} - 9 x + 20) : 3 x^{2} - 27 x + 60

= \frac{3 x ^{2} - 27 x + 60}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 27 x + 60}{2} = \frac{3 x ^{2}}{2} - \frac{27 x}{2} + \frac{60}{2}

= \frac{3 x ^{2}}{2} - \frac{27 x}{2} + \frac{60}{2}

Divide the numbers:

\frac{60}{2} = 30

= \frac{3 x ^{2}}{2} - \frac{27 x}{2} + 30

(x^{2} - 5 e x + 3) (x^{3} + 2 x + 1)

1 + (\frac{( x ^{4} + 9 )}{( 18 x )})^{2}

(bi + c j + d k)^{2}

(1 + e^{x}) d x

\frac{- 6 x ^{2} - 43 x + 103}{( x + 5 ) ( x + 2 ) ( x + 13 )}

What is expand (3(x^2-9x+20))/2 ?
The solution to expand (3(x^2-9x+20))/2 is (3x^2)/2-(27x)/2+30