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Popular >

expand (15(x-2)^2)/2

Solution

expand

\frac{15 ( x - 2 ) ^{2}}{2}

Solution

\frac{15 x ^{2}}{2} - 30 x + 30

Solution steps

\frac{15 ( x - 2 ) ^{2}}{2}

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{15 ( x ^{2} - 4 x + 4 )}{2}

Expand

15 (x^{2} - 4 x + 4) : 15 x^{2} - 60 x + 60

= \frac{15 x ^{2} - 60 x + 60}{2}

Apply the fraction rule:

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

\frac{15 x ^{2} - 60 x + 60}{2} = \frac{15 x ^{2}}{2} - \frac{60 x}{2} + \frac{60}{2}

= \frac{15 x ^{2}}{2} - \frac{60 x}{2} + \frac{60}{2}

Divide the numbers:

\frac{60}{2} = 30

= \frac{15 x ^{2}}{2} - 30 x + 30

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Frequently Asked Questions (FAQ)

What is expand (15(x-2)^2)/2 ?
The solution to expand (15(x-2)^2)/2 is (15x^2)/2-30x+30