What is expand (x-pi)^2*(y-2) ?

The solution to expand (x-pi)^2*(y-2) is x^2y-2pixy+pi^2y-2x^2+4pix-2pi^2

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expand (x-pi)^2*(y-2)

expand

(x - π)^{2} \cdot (y - 2)

x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

Solution steps

(x - π)^{2} (y - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = (x - π)^{2}, b = y, c = 2

= (x - π)^{2} y - (x - π)^{2} \cdot 2

= y (x - π)^{2} - 2 (x - π)^{2}

Simplify

y (x - π)^{2} - 2 (x - π)^{2} : x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

= x^{2} y - 2 π x y + π^{2} y - 2 x^{2} + 4 π x - 2 π^{2}

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

x^{a (b + 1)}

\frac{d}{d t} ((x) (2 e^{3 t} + 1))

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

- \frac{( x + 1 ) ( x - 2 ) ( x - 3 )}{5}

What is expand (x-pi)^2*(y-2) ?
The solution to expand (x-pi)^2*(y-2) is x^2y-2pixy+pi^2y-2x^2+4pix-2pi^2