What is expand pir^2(2(-r+30)) ?

The solution to expand pir^2(2(-r+30)) is -2pir^3+60pir^2

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expand pir^2(2(-r+30))

expand

π r^{2} (2 (- r + 30))

- 2 π r^{3} + 60 π r^{2}

Solution steps

π r^{2} (2 (- r + 30))

Remove parentheses:

(a) = a

= π r^{2} \cdot 2 (- r + 30)

= 2 π r^{2} (- r + 30)

Apply the distributive law:

a (b + c) = ab + a c

a = π r^{2} \cdot 2, b = - r, c = 30

= π r^{2} \cdot 2 (- r) + π r^{2} \cdot 2 \cdot 30

Apply minus-plus rules

+ (- a) = - a

= - 2 π r^{2} r + 2 \cdot 30 π r^{2}

Simplify

- 2 π r^{2} r + 2 \cdot 30 π r^{2} : - 2 π r^{3} + 60 π r^{2}

= - 2 π r^{3} + 60 π r^{2}

\frac{2 ( 3 x + 10 )}{( 4 + x ) ^{\frac{1}{2}}}

A (- 2, - \frac{π}{3})

\frac{x ^{2} + 2 x - 20}{( x - 4 ) ( x - 6 )}

\frac{x ^{2} ( x + 1 ) ^{3}}{( x - 7 ) ( x + 3 ) ^{2} ( - x ^{2} - 1 )}

What is expand pir^2(2(-r+30)) ?
The solution to expand pir^2(2(-r+30)) is -2pir^3+60pir^2