What is expand t^{5/2}(t^2-10t+16) ?

The solution to expand t^{5/2}(t^2-10t+16) is t^{9/2}-10t^{7/2}+t^{5/2}*16

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expand t^{5/2}(t^2-10t+16)

expand

t^{\frac{5}{2}} (t^{2} - 10 t + 16)

t^{\frac{9}{2}} - 10 t^{\frac{7}{2}} + t^{\frac{5}{2}} \cdot 16

Solution steps

t^{\frac{5}{2}} (t^{2} - 10 t + 16)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

t^{\frac{5}{2}} (t^{2} - 10 t + 16) = t^{\frac{5}{2}} t^{2} + t^{\frac{5}{2}} (- 10 t) + t^{\frac{5}{2}} \cdot 16

= t^{\frac{5}{2}} t^{2} + t^{\frac{5}{2}} (- 10 t) + t^{\frac{5}{2}} \cdot 16

t^{\frac{5}{2}} t^{2} = t^{\frac{9}{2}}

t^{\frac{5}{2}} (- 10 t) = - 10 t^{\frac{7}{2}}

= t^{\frac{9}{2}} - 10 t^{\frac{7}{2}} + t^{\frac{5}{2}} \cdot 16

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What is expand t^{5/2}(t^2-10t+16) ?
The solution to expand t^{5/2}(t^2-10t+16) is t^{9/2}-10t^{7/2}+t^{5/2}*16