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Popular >

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

Solution

expand

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

Solution

\frac{x ^{2}}{2} - 3 x + \frac{9}{2}

Solution steps

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

(- x + 3)^{2} = x^{2} - 6 x + 9

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{6}{2} = 3

= \frac{x ^{2}}{2} - 3 x + \frac{9}{2}

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Frequently Asked Questions (FAQ)

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