What is expand pi(x+2)^2(x+5) ?

The solution to expand pi(x+2)^2(x+5) is pix^3+9pix^2+24pix+20pi

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expand pi(x+2)^2(x+5)

expand

π (x + 2)^{2} (x + 5)

π x^{3} + 9 π x^{2} + 24 π x + 20 π

Solution steps

π (x + 2)^{2} (x + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = π (x + 2)^{2}, b = x, c = 5

= π (x + 2)^{2} x + π (x + 2)^{2} \cdot 5

= π x (x + 2)^{2} + 5 π (x + 2)^{2}

Simplify

π x (x + 2)^{2} + 5 π (x + 2)^{2} : π x^{3} + 9 π x^{2} + 24 π x + 20 π

= π x^{3} + 9 π x^{2} + 24 π x + 20 π

\frac{( 8 x )}{( x ^{(3)} - x ^{(2)} - x - 1 ) d x}

x (9 - x) d x

\frac{x - 1}{( x - 2 ) ( x + 2 )}

\frac{2 ( 20825 + 112046235 )}{119}

What is expand pi(x+2)^2(x+5) ?
The solution to expand pi(x+2)^2(x+5) is pix^3+9pix^2+24pix+20pi