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Popular >

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

Solution

expand

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

Solution

\frac{9 x ^{2}}{2} - 6 x + 2

Solution steps

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

(3 x - 2)^{2} = 9 x^{2} - 12 x + 4

= \frac{9 x ^{2} - 12 x + 4}{2}

Apply the fraction rule:

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

\frac{9 x ^{2} - 12 x + 4}{2} = \frac{9 x ^{2}}{2} - \frac{12 x}{2} + \frac{4}{2}

= \frac{9 x ^{2}}{2} - \frac{12 x}{2} + \frac{4}{2}

Divide the numbers:

\frac{12}{2} = 6

= \frac{9 x ^{2}}{2} - 6 x + \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= \frac{9 x ^{2}}{2} - 6 x + 2

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Frequently Asked Questions (FAQ)

What is expand ((3x-2)^2)/2 ?
The solution to expand ((3x-2)^2)/2 is (9x^2)/2-6x+2