What is expand pi(1-x/3)^2 ?

The solution to expand pi(1-x/3)^2 is (pix^2)/9-(2pix)/3+pi

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expand pi(1-x/3)^2

expand

π (1 - \frac{x}{3})^{2}

\frac{π x ^{2}}{9} - \frac{2 π x}{3} + π

Solution steps

π (1 - \frac{x}{3})^{2}

(1 - \frac{x}{3})^{2} = 1 - \frac{2 x}{3} + \frac{x ^{2}}{9}

= π (\frac{x ^{2}}{9} - \frac{2 x}{3} + 1)

Distribute parentheses

= π 1 + π (- \frac{2 x}{3}) + π \frac{x ^{2}}{9}

Apply minus-plus rules

+ (- a) = - a

= 1 π - π \frac{2 x}{3} + π \frac{x ^{2}}{9}

Simplify

1 π - π \frac{2 x}{3} + π \frac{x ^{2}}{9} : π - \frac{2 π x}{3} + \frac{π x ^{2}}{9}

= π - \frac{2 π x}{3} + \frac{π x ^{2}}{9}

Rewrite in standard form

= \frac{π x ^{2}}{9} - \frac{2 π x}{3} + π

2 (8 x - 15 y = - 30)

\frac{3 k ( k + 1 )}{2}

\frac{( 1 + x ) ^{3}}{3}

3 sin (2 (x - \frac{π}{4})) + 5

\frac{x - 4}{( x + 2 ) ( x + 1 )}

What is expand pi(1-x/3)^2 ?
The solution to expand pi(1-x/3)^2 is (pix^2)/9-(2pix)/3+pi