What is expand pir^2(9-2pir) ?

The solution to expand pir^2(9-2pir) is -2pi^2r^3+9pir^2

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expand pir^2(9-2pir)

expand

π r^{2} (9 - 2 π r)

- 2 π^{2} r^{3} + 9 π r^{2}

Solution steps

π r^{2} (9 - 2 π r)

Apply the distributive law:

a (b - c) = ab - a c

a = π r^{2}, b = 9, c = 2 π r

= π r^{2} \cdot 9 - π r^{2} \cdot 2 π r

= 9 π r^{2} - 2 ππ r^{2} r

Simplify

9 π r^{2} - 2 ππ r^{2} r : - 2 π^{2} r^{3} + 9 π r^{2}

= - 2 π^{2} r^{3} + 9 π r^{2}

\frac{x ^{2} - 8 x + 3 y}{( x - 4 ) ^{2}}

1 (19 c + 30)

200 (25 - 25 e^{- 200 t})

2 (n + 3) e^{2} n + 6

\frac{- 2 s + 4}{( x - 1 ) s ^{2} - x s + 1}

What is expand pir^2(9-2pir) ?
The solution to expand pir^2(9-2pir) is -2pi^2r^3+9pir^2