What is expand ((t+c)^2)/(10000pi^2) ?

The solution to expand ((t+c)^2)/(10000pi^2) is (t^2)/(10000pi^2)+(ct)/(5000pi^2)+(c^2)/(10000pi^2)

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expand ((t+c)^2)/(10000pi^2)

expand

\frac{( t + c ) ^{2}}{10000 π ^{2}}

\frac{t ^{2}}{10000 π ^{2}} + \frac{c t}{5000 π ^{2}} + \frac{c ^{2}}{10000 π ^{2}}

Solution steps

\frac{( t + c ) ^{2}}{10000 π ^{2}}

(t + c)^{2} = t^{2} + 2 c t + c^{2}

= \frac{t ^{2} + 2 c t + c ^{2}}{10000 π ^{2}}

Apply the fraction rule:

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

\frac{t ^{2} + 2 t c + c ^{2}}{10000 π ^{2}} = \frac{t ^{2}}{10000 π ^{2}} + \frac{2 t c}{10000 π ^{2}} + \frac{c ^{2}}{10000 π ^{2}}

= \frac{t ^{2}}{10000 π ^{2}} + \frac{2 c t}{10000 π ^{2}} + \frac{c ^{2}}{10000 π ^{2}}

Cancel

\frac{2 t c}{10000 π ^{2}} : \frac{c t}{5000 π ^{2}}

= \frac{t ^{2}}{10000 π ^{2}} + \frac{c t}{5000 π ^{2}} + \frac{c ^{2}}{10000 π ^{2}}

\frac{5}{( 1 - x ) ^{2}}

\frac{x ( x - 5 ) + 6}{x - 5}

\frac{25 ( 95 + 8705 )}{2}

(3 x^{2} + 2 x + 1)^{5}

- 4 (- y + 5 z = 7)

What is expand ((t+c)^2)/(10000pi^2) ?
The solution to expand ((t+c)^2)/(10000pi^2) is (t^2)/(10000pi^2)+(ct)/(5000pi^2)+(c^2)/(10000pi^2)