What is expand ((9-4t)(12+9t))/2 ?

The solution to expand ((9-4t)(12+9t))/2 is -18t^2+(33t)/2+54

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expand ((9-4t)(12+9t))/2

expand

\frac{( 9 - 4 t ) ( 12 + 9 t )}{2}

- 18 t^{2} + \frac{33 t}{2} + 54

Solution steps

\frac{( 9 - 4 t ) ( 12 + 9 t )}{2}

Expand

(9 - 4 t) (12 + 9 t) : 108 + 33 t - 36 t^{2}

= \frac{108 + 33 t - 36 t ^{2}}{2}

Apply the fraction rule:

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

\frac{108 + 33 t - 36 t ^{2}}{2} = \frac{108}{2} + \frac{33 t}{2} - \frac{36 t ^{2}}{2}

= \frac{108}{2} + \frac{33 t}{2} - \frac{36 t ^{2}}{2}

Divide the numbers:

\frac{108}{2} = 54

= 54 + \frac{33 t}{2} - \frac{36 t ^{2}}{2}

Divide the numbers:

\frac{36}{2} = 18

= 54 + \frac{33 t}{2} - 18 t^{2}

Rewrite in standard form

= - 18 t^{2} + \frac{33 t}{2} + 54

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(1 - x) x

What is expand ((9-4t)(12+9t))/2 ?
The solution to expand ((9-4t)(12+9t))/2 is -18t^2+(33t)/2+54