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Popular >

expand (3(x-1)^2)/2

Solution

expand

\frac{3 ( x - 1 ) ^{2}}{2}

Solution

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

Solution steps

\frac{3 ( x - 1 ) ^{2}}{2}

(x - 1)^{2} = x^{2} - 2 x + 1

= \frac{3 ( x ^{2} - 2 x + 1 )}{2}

Expand

3 (x^{2} - 2 x + 1) : 3 x^{2} - 6 x + 3

= \frac{3 x ^{2} - 6 x + 3}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 6 x + 3}{2} = \frac{3 x ^{2}}{2} - \frac{6 x}{2} + \frac{3}{2}

= \frac{3 x ^{2}}{2} - \frac{6 x}{2} + \frac{3}{2}

Divide the numbers:

\frac{6}{2} = 3

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

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Frequently Asked Questions (FAQ)

What is expand (3(x-1)^2)/2 ?
The solution to expand (3(x-1)^2)/2 is (3x^2)/2-3x+3/2