What is expand (αpi(150+l)^2)/(360) ?

The solution to expand (αpi(150+l)^2)/(360) is (125piα)/2+(5piαl)/6+(piαl^2)/(360)

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expand (αpi(150+l)^2)/(360)

expand

\frac{α π ( 150 + l ) ^{2}}{360}

\frac{125 π α}{2} + \frac{5 π α l}{6} + \frac{π α l ^{2}}{360}

Solution steps

\frac{α π ( 150 + l ) ^{2}}{360}

(150 + l)^{2} = 22500 + 300 l + l^{2}

= \frac{π α ( l ^{2} + 300 l + 22500 )}{360}

Expand

α π (22500 + 300 l + l^{2}) : 22500 π α + 300 π α l + π α l^{2}

= \frac{22500 π α + 300 π α l + π α l ^{2}}{360}

Apply the fraction rule:

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

\frac{22500 π α + 300 π α l + π α l ^{2}}{360} = \frac{22500 π α}{360} + \frac{300 π α l}{360} + \frac{π α l ^{2}}{360}

= \frac{22500 π α}{360} + \frac{300 π α l}{360} + \frac{π α l ^{2}}{360}

Cancel

\frac{22500 π α}{360} : \frac{125 π α}{2}

= \frac{125 π α}{2} + \frac{300 π α l}{360} + \frac{π α l ^{2}}{360}

Cancel

\frac{300 π α l}{360} : \frac{5 π α l}{6}

= \frac{125 π α}{2} + \frac{5 π α l}{6} + \frac{π α l ^{2}}{360}

\frac{π ( 2 2 + 1 )}{6}

((\frac{d y}{d x} + 7 x))^{6}

d (10)

\frac{109}{25 ( 10 x - 6 )}

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

What is expand (αpi(150+l)^2)/(360) ?
The solution to expand (αpi(150+l)^2)/(360) is (125piα)/2+(5piαl)/6+(piαl^2)/(360)