What is expand pi(3r+8s)^2*(12r+32s) ?

The solution to expand pi(3r+8s)^2*(12r+32s) is 108pir^3+864pir^2s+2304pirs^2+2048pis^3

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expand pi(3r+8s)^2*(12r+32s)

expand

π (3 r + 8 s)^{2} \cdot (12 r + 32 s)

108 π r^{3} + 864 π r^{2} s + 2304 π r s^{2} + 2048 π s^{3}

Solution steps

π (3 r + 8 s)^{2} (12 r + 32 s)

Apply the distributive law:

a (b + c) = ab + a c

a = π (3 r + 8 s)^{2}, b = 12 r, c = 32 s

= π (3 r + 8 s)^{2} \cdot 12 r + π (3 r + 8 s)^{2} \cdot 32 s

= 12 π r (3 r + 8 s)^{2} + 32 π s (3 r + 8 s)^{2}

Simplify

12 π r (3 r + 8 s)^{2} + 32 π s (3 r + 8 s)^{2} : 108 π r^{3} + 864 π r^{2} s + 2304 π r s^{2} + 2048 π s^{3}

= 108 π r^{3} + 864 π r^{2} s + 2304 π r s^{2} + 2048 π s^{3}

(f \circ g) 3 (- x + 7) - 2

, (s + 1) (\frac{s}{2} + 1) (\frac{s}{3} + 1)

(\frac{- x ^{2} + 8 x + 3}{4} - \frac{sin ( \frac{π x}{3} )}{2}) \cdot x

(a + b - \frac{a t}{10})^{2} \cdot t

p (5, 6) y q (2, - 3)

What is expand pi(3r+8s)^2*(12r+32s) ?
The solution to expand pi(3r+8s)^2*(12r+32s) is 108pir^3+864pir^2s+2304pirs^2+2048pis^3