What is expand ((90-3x)(5x+15))/2 ?

The solution to expand ((90-3x)(5x+15))/2 is -(15x^2)/2+(405x)/2+675

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expand ((90-3x)(5x+15))/2

expand

\frac{( 90 - 3 x ) ( 5 x + 15 )}{2}

- \frac{15 x ^{2}}{2} + \frac{405 x}{2} + 675

Solution steps

\frac{( 90 - 3 x ) ( 5 x + 15 )}{2}

Expand

(90 - 3 x) (5 x + 15) : - 15 x^{2} + 405 x + 1350

= \frac{- 15 x ^{2} + 405 x + 1350}{2}

Apply the fraction rule:

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

\frac{- 15 x ^{2} + 405 x + 1350}{2} = - \frac{15 x ^{2}}{2} + \frac{405 x}{2} + \frac{1350}{2}

= - \frac{15 x ^{2}}{2} + \frac{405 x}{2} + \frac{1350}{2}

Divide the numbers:

\frac{1350}{2} = 675

= - \frac{15 x ^{2}}{2} + \frac{405 x}{2} + 675

(x + x) d x

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What is expand ((90-3x)(5x+15))/2 ?
The solution to expand ((90-3x)(5x+15))/2 is -(15x^2)/2+(405x)/2+675