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

The solution to expand (t^3+2t^2-3+1)/(tsqrt(t)) is (sqrt(t)(t^3+2t^2-2))/(t^2)

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

expand

\frac{t ^{3} + 2 t ^{2} - 3 + 1}{t t}

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

Solution steps

\frac{t ^{3} + 2 t ^{2} - 3 + 1}{t t}

Add/Subtract the numbers:

- 3 + 1 = - 2

= \frac{t ^{3} + 2 t ^{2} - 2}{t t}

Rationalize

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

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

3 sin (\frac{2 π}{365} (t - 79)) + 12

700 \cdot \frac{d}{d x} ((1 + 0.1 \cdot t)^{2} d t)

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

\frac{d}{d x} ((z) (x^{2} + 2 y^{2} + 3 z^{2} - 1))

(3 + x) x^{2} e^{7 x}

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