What is expand ((4t^2+45)^{3/2}-343)/(12) ?

The solution to expand ((4t^2+45)^{3/2}-343)/(12) is ((4t^2+45)^{3/2})/(12)-343/12

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expand ((4t^2+45)^{3/2}-343)/(12)

expand

\frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}} - 343}{12}

\frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}}}{12} - \frac{343}{12}

Solution steps

\frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}} - 343}{12}

Apply the fraction rule:

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

\frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}} - 343}{12} = \frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}}}{12} - \frac{343}{12}

= \frac{( 4 t ^{2} + 45 ) ^{\frac{3}{2}}}{12} - \frac{343}{12}

\frac{( x + 2 ) ( x + 3 ) ( x + 4 )}{( x + 1 )}

(\frac{3}{2}, \frac{1}{4}) \cdot (x - \frac{π}{4}, y)

\frac{1}{2} (e^{- θ} + e^{θ})

(2, 4, 3) x (0, - 1, - 1)

\frac{5 ( a + b )}{c}

What is expand ((4t^2+45)^{3/2}-343)/(12) ?
The solution to expand ((4t^2+45)^{3/2}-343)/(12) is ((4t^2+45)^{3/2})/(12)-343/12