What is expand pi(x+5)^2(x^2-16) ?

The solution to expand pi(x+5)^2(x^2-16) is pix^4+10pix^3+9pix^2-160pix-400pi

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expand pi(x+5)^2(x^2-16)

expand

π (x + 5)^{2} (x^{2} - 16)

π x^{4} + 10 π x^{3} + 9 π x^{2} - 160 π x - 400 π

Solution steps

π (x + 5)^{2} (x^{2} - 16)

Apply the distributive law:

a (b - c) = ab - a c

a = π (x + 5)^{2}, b = x^{2}, c = 16

= π (x + 5)^{2} x^{2} - π (x + 5)^{2} \cdot 16

= π x^{2} (x + 5)^{2} - 16 π (x + 5)^{2}

Simplify

π x^{2} (x + 5)^{2} - 16 π (x + 5)^{2} : π x^{4} + 10 π x^{3} + 9 π x^{2} - 160 π x - 400 π

= π x^{4} + 10 π x^{3} + 9 π x^{2} - 160 π x - 400 π

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

\frac{( 5 x - 2 ) ^{2}}{3}

(x^{\frac{4}{3} - \frac{3}{7}})^{2}

(5 x + y^{2}) d x + y (2 x - x^{2}) d y

\frac{( 9 y ^{4} + 3 x ^{3} - 6 x ^{2} y + x ^{2} )}{( x y ^{2} )}

What is expand pi(x+5)^2(x^2-16) ?
The solution to expand pi(x+5)^2(x^2-16) is pix^4+10pix^3+9pix^2-160pix-400pi