What is expand (t(t-20))/(3(t-4)^2) ?

The solution to expand (t(t-20))/(3(t-4)^2) is (t^2-20t)/(3t^2-24t+48)

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expand (t(t-20))/(3(t-4)^2)

expand

\frac{t ( t - 20 )}{3 ( t - 4 ) ^{2}}

\frac{t ^{2} - 20 t}{3 t ^{2} - 24 t + 48}

Solution steps

\frac{t ( t - 20 )}{3 ( t - 4 ) ^{2}}

(t - 4)^{2} = t^{2} - 8 t + 16

= \frac{t ( t - 20 )}{3 ( t ^{2} - 8 t + 16 )}

Expand

3 (t^{2} - 8 t + 16) : 3 t^{2} - 24 t + 48

= \frac{t ( t - 20 )}{3 t ^{2} - 24 t + 48}

Expand

t (t - 20) : t^{2} - 20 t

= \frac{t ^{2} - 20 t}{3 t ^{2} - 24 t + 48}

(x + 1) (x - \frac{7}{9})

\frac{( 1 - y ) ^{3}}{3}

(\frac{b}{a} (x - x_{0}) + y_{0} - c)^{2}

((a \cdot x) - b + ((x - (\frac{l}{2})) \cdot c)) \cdot (x - (\frac{l}{2}))

(x e^{\frac{1}{x}} - x) \cdot (x \cdot e^{\frac{1}{x}} + x)

What is expand (t(t-20))/(3(t-4)^2) ?
The solution to expand (t(t-20))/(3(t-4)^2) is (t^2-20t)/(3t^2-24t+48)