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Popular >

expand ((t-3)^2)/4

Solution

expand

\frac{( t - 3 ) ^{2}}{4}

Solution

\frac{t ^{2}}{4} - \frac{3 t}{2} + \frac{9}{4}

Solution steps

\frac{( t - 3 ) ^{2}}{4}

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{6 t}{4} : \frac{3 t}{2}

= \frac{t ^{2}}{4} - \frac{3 t}{2} + \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is expand ((t-3)^2)/4 ?
The solution to expand ((t-3)^2)/4 is (t^2)/4-(3t)/2+9/4