What is expand 25pi(2-x/4)^2 ?

The solution to expand 25pi(2-x/4)^2 is (25pix^2)/(16)-25pix+100pi

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expand 25pi(2-x/4)^2

expand

25 π (2 - \frac{x}{4})^{2}

\frac{25 π x ^{2}}{16} - 25 π x + 100 π

Solution steps

25 π (2 - \frac{x}{4})^{2}

(2 - \frac{x}{4})^{2} = 4 - x + \frac{x ^{2}}{16}

= 25 π (\frac{x ^{2}}{16} - x + 4)

Distribute parentheses

= 25 π 4 + 25 π (- x) + 25 π \frac{x ^{2}}{16}

Apply minus-plus rules

+ (- a) = - a

= 25 \cdot 4 π - 25 π x + 25 π \frac{x ^{2}}{16}

Simplify

25 \cdot 4 π - 25 π x + 25 π \frac{x ^{2}}{16} : 100 π - 25 π x + \frac{25 π x ^{2}}{16}

= 100 π - 25 π x + \frac{25 π x ^{2}}{16}

Rewrite in standard form

= \frac{25 π x ^{2}}{16} - 25 π x + 100 π

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

5 (\frac{d ^{3}}{d t ^{3}} (t^{3})) (1 - sin (4 t))

- 13 (x + 2 π)

\frac{3}{4} (2 x + 10 = 2 (3 - 2 x) + 7)

\frac{n ( 5 n - 7 )}{( n + 1 ) ^{2}}

What is expand 25pi(2-x/4)^2 ?
The solution to expand 25pi(2-x/4)^2 is (25pix^2)/(16)-25pix+100pi