What is expand ((2t+1)^2)/(3t) ?

The solution to expand ((2t+1)^2)/(3t) is (4t)/3+4/3+1/(3t)

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expand ((2t+1)^2)/(3t)

expand

\frac{( 2 t + 1 ) ^{2}}{3 t}

\frac{4 t}{3} + \frac{4}{3} + \frac{1}{3 t}

Solution steps

\frac{( 2 t + 1 ) ^{2}}{3 t}

(2 t + 1)^{2} = 4 t^{2} + 4 t + 1

= \frac{4 t ^{2} + 4 t + 1}{3 t}

Apply the fraction rule:

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

\frac{4 t ^{2} + 4 t + 1}{3 t} = \frac{4 t ^{2}}{3 t} + \frac{4 t}{3 t} + \frac{1}{3 t}

= \frac{4 t ^{2}}{3 t} + \frac{4 t}{3 t} + \frac{1}{3 t}

Cancel

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

= \frac{4 t}{3} + \frac{4 t}{3 t} + \frac{1}{3 t}

Cancel

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

= \frac{4 t}{3} + \frac{4}{3} + \frac{1}{3 t}

\frac{( 40 s + 1 ) ( 10 s + 1 )}{s ( s + 1 )}

ln (x - 5) (x^{2} + 2 x - 3)

\frac{16 ( t + h ) ^{2} - 16 t}{h}

(a x + b) (2 - a y^{'} (x))

e^{\frac{1}{n}} (e - 1)

What is expand ((2t+1)^2)/(3t) ?
The solution to expand ((2t+1)^2)/(3t) is (4t)/3+4/3+1/(3t)