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Popular >

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

Solution

expand

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

Solution

4 t - 12 + \frac{9}{t}

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{4 t ^{2}}{t} : 4 t

= 4 t - \frac{12 t}{t} + \frac{9}{t}

Cancel

\frac{12 t}{t} : 12

= 4 t - 12 + \frac{9}{t}

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Frequently Asked Questions (FAQ)

What is expand ((2t-3)^2)/t ?
The solution to expand ((2t-3)^2)/t is 4t-12+9/t