What is expand pir^2(2pir-84) ?

The solution to expand pir^2(2pir-84) is 2pi^2r^3-84pir^2

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expand pir^2(2pir-84)

expand

π r^{2} (2 π r - 84)

2 π^{2} r^{3} - 84 π r^{2}

Solution steps

π r^{2} (2 π r - 84)

Apply the distributive law:

a (b - c) = ab - a c

a = π r^{2}, b = 2 π r, c = 84

= π r^{2} \cdot 2 π r - π r^{2} \cdot 84

= 2 ππ r^{2} r - 84 π r^{2}

2 ππ r^{2} r = 2 π^{2} r^{3}

= 2 π^{2} r^{3} - 84 π r^{2}

(- \frac{π L ^{2} ( 90 - arccos ( \frac{2}{L} ) )}{360} - 4)^{2}

(x + \frac{5}{x})^{9}

- 5 (2 + 3)

(x - \frac{1}{y ^{2}})^{12}

sin (x) (2 \cdot cos (x) - 1)

What is expand pir^2(2pir-84) ?
The solution to expand pir^2(2pir-84) is 2pi^2r^3-84pir^2