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Popular >

expand-(3(x-6)^2)/2

Solution

expand

- \frac{3 ( x - 6 ) ^{2}}{2}

Solution

- \frac{3 x ^{2}}{2} + 18 x - 54

Solution steps

- \frac{3 ( x - 6 ) ^{2}}{2}

(x - 6)^{2} = x^{2} - 12 x + 36

= - \frac{3 ( x ^{2} - 12 x + 36 )}{2}

Expand

3 (x^{2} - 12 x + 36) : 3 x^{2} - 36 x + 108

= - \frac{3 x ^{2} - 36 x + 108}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 36 x + 108}{2} = - (\frac{3 x ^{2}}{2}) - (- \frac{36 x}{2}) - (\frac{108}{2})

= - (\frac{3 x ^{2}}{2}) - (- \frac{36 x}{2}) - (\frac{108}{2})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{3 x ^{2}}{2} + \frac{36 x}{2} - \frac{108}{2}

Divide the numbers:

\frac{36}{2} = 18

= - \frac{3 x ^{2}}{2} + 18 x - \frac{108}{2}

Divide the numbers:

\frac{108}{2} = 54

= - \frac{3 x ^{2}}{2} + 18 x - 54

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Frequently Asked Questions (FAQ)

What is expand-(3(x-6)^2)/2 ?
The solution to expand-(3(x-6)^2)/2 is -(3x^2)/2+18x-54