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Popular >

simplify ((t+9)^2)/(t^2)dt

Solution

simplify

\frac{( t + 9 ) ^{2}}{t ^{2}} d t

Solution

\frac{d t ( t + 9 ) ^{2}}{t ^{2}}

Solution steps

\frac{( t + 9 ) ^{2}}{t ^{2}} d t

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{( t + 9 ) ^{2}}{t ^{2}} = (\frac{t + 9}{t})^{2}

= (\frac{t + 9}{t})^{2} d t

(\frac{t + 9}{t})^{2} = \frac{( t + 9 ) ^{2}}{t ^{2}}

= \frac{( t + 9 ) ^{2}}{t ^{2}} d t

Multiply fractions:

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

= \frac{( t + 9 ) ^{2} d t}{t ^{2}}

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Frequently Asked Questions (FAQ)

What is ((t+9)^2)/(t^2)dt ?
The solution to ((t+9)^2)/(t^2)dt is (dt(t+9)^2)/(t^2)