What is expand (a(19a^2+7-10a))/(216) ?

The solution to expand (a(19a^2+7-10a))/(216) is (19a^3)/(216)-(5a^2)/(108)+(7a)/(216)

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expand (a(19a^2+7-10a))/(216)

expand

\frac{a ( 19 a ^{2} + 7 - 10 a )}{216}

\frac{19 a ^{3}}{216} - \frac{5 a ^{2}}{108} + \frac{7 a}{216}

Solution steps

\frac{a ( 19 a ^{2} + 7 - 10 a )}{216}

Expand

a (19 a^{2} + 7 - 10 a) : 19 a^{3} + 7 a - 10 a^{2}

= \frac{19 a ^{3} + 7 a - 10 a ^{2}}{216}

Apply the fraction rule:

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

\frac{19 a ^{3} + 7 a - 10 a ^{2}}{216} = \frac{19 a ^{3}}{216} + \frac{7 a}{216} - \frac{10 a ^{2}}{216}

= \frac{19 a ^{3}}{216} + \frac{7 a}{216} - \frac{10 a ^{2}}{216}

Cancel

\frac{10 a ^{2}}{216} : \frac{5 a ^{2}}{108}

= \frac{19 a ^{3}}{216} + \frac{7 a}{216} - \frac{5 a ^{2}}{108}

Rewrite in standard form

= \frac{19 a ^{3}}{216} - \frac{5 a ^{2}}{108} + \frac{7 a}{216}

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(e^{2 x} + 5)^{2}

What is expand (a(19a^2+7-10a))/(216) ?
The solution to expand (a(19a^2+7-10a))/(216) is (19a^3)/(216)-(5a^2)/(108)+(7a)/(216)