What is expand-(pix^2(2pix-75))/2 ?

The solution to expand-(pix^2(2pix-75))/2 is -pi^2x^3+(75pix^2)/2

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expand-(pix^2(2pix-75))/2

expand

- \frac{π x ^{2} ( 2 π x - 75 )}{2}

- π^{2} x^{3} + \frac{75 π x ^{2}}{2}

Solution steps

- \frac{π x ^{2} ( 2 π x - 75 )}{2}

Expand

π x^{2} (2 π x - 75) : 2 π^{2} x^{3} - 75 π x^{2}

= - \frac{2 π ^{2} x ^{3} - 75 π x ^{2}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 π ^{2} x ^{3} - 75 π x ^{2}}{2} = - (\frac{2 π ^{2} x ^{3}}{2}) - (- \frac{75 π x ^{2}}{2})

= - (\frac{2 π ^{2} x ^{3}}{2}) - (- \frac{75 π x ^{2}}{2})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{2 π ^{2} x ^{3}}{2} + \frac{75 π x ^{2}}{2}

Divide the numbers:

\frac{2}{2} = 1

= - π^{2} x^{3} + \frac{75 π x ^{2}}{2}

e^{y} d x + (x e^{2} + 2 y) d y

- \frac{2 ( 53047 - 230 )}{49}

(0, 3) y (- 8, 3) (- 4 + 29, 3)

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

2 x y + (1 + x^{2}) \frac{d y}{d x}

What is expand-(pix^2(2pix-75))/2 ?
The solution to expand-(pix^2(2pix-75))/2 is -pi^2x^3+(75pix^2)/2