What is expand x^2+(pi(-x+5)^2)/4 ?

The solution to expand x^2+(pi(-x+5)^2)/4 is x^2+(pix^2)/4-(5pix)/2+(25pi)/4

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expand x^2+(pi(-x+5)^2)/4

expand

x^{2} + \frac{π ( - x + 5 ) ^{2}}{4}

x^{2} + \frac{π x ^{2}}{4} - \frac{5 π x}{2} + \frac{25 π}{4}

Solution steps

x^{2} + \frac{π ( - x + 5 ) ^{2}}{4}

\frac{π ( - x + 5 ) ^{2}}{4} = \frac{π x ^{2} - 10 π x + 25 π}{4}

= x^{2} + \frac{π x ^{2} - 10 π x + 25 π}{4}

Apply the fraction rule:

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

\frac{π x ^{2} - 10 π x + 25 π}{4} = \frac{π x ^{2}}{4} - \frac{10 π x}{4} + \frac{25 π}{4}

= x^{2} + \frac{π x ^{2}}{4} - \frac{10 π x}{4} + \frac{25 π}{4}

Cancel

\frac{10 π x}{4} : \frac{5 π x}{2}

= x^{2} + \frac{π x ^{2}}{4} - \frac{5 π x}{2} + \frac{25 π}{4}

(\frac{x}{5} = \frac{x}{6} + 10) 3

(1 - 2 sin^{2} (x) - cos^{2} (x)) cot^{2} (x)

y (x^{4} - y^{2}) d x + x (x^{4} + y^{2}) d y

(x + 6) (x - 6)

\frac{K ( i s + 5 )}{( i s ( i s + 1 ) ( i s + 2 ) )}

What is expand x^2+(pi(-x+5)^2)/4 ?
The solution to expand x^2+(pi(-x+5)^2)/4 is x^2+(pix^2)/4-(5pix)/2+(25pi)/4