What is expand ((3x+2y)(2x+y))/(24) ?

The solution to expand ((3x+2y)(2x+y))/(24) is (x^2)/4+(7xy)/(24)+(y^2)/(12)

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expand ((3x+2y)(2x+y))/(24)

expand

\frac{( 3 x + 2 y ) ( 2 x + y )}{24}

\frac{x ^{2}}{4} + \frac{7 x y}{24} + \frac{y ^{2}}{12}

Solution steps

\frac{( 3 x + 2 y ) ( 2 x + y )}{24}

Expand

(3 x + 2 y) (2 x + y) : 6 x^{2} + 7 x y + 2 y^{2}

= \frac{6 x ^{2} + 7 x y + 2 y ^{2}}{24}

Apply the fraction rule:

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

\frac{6 x ^{2} + 7 x y + 2 y ^{2}}{24} = \frac{6 x ^{2}}{24} + \frac{7 x y}{24} + \frac{2 y ^{2}}{24}

= \frac{6 x ^{2}}{24} + \frac{7 x y}{24} + \frac{2 y ^{2}}{24}

Cancel

\frac{6 x ^{2}}{24} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4} + \frac{7 x y}{24} + \frac{2 y ^{2}}{24}

Cancel

\frac{2 y ^{2}}{24} : \frac{y ^{2}}{12}

= \frac{x ^{2}}{4} + \frac{7 x y}{24} + \frac{y ^{2}}{12}

\frac{1}{( 1 + cos ( x ) ) cos ( x )}

\frac{x ( x - 6 ) ^{2}}{3}

- \frac{2 ( 51 - 6 )}{3}

\frac{d}{d t} ((x) (- 3 x^{2} + 4))

10 e^{6 x} (3 x - 2)

What is expand ((3x+2y)(2x+y))/(24) ?
The solution to expand ((3x+2y)(2x+y))/(24) is (x^2)/4+(7xy)/(24)+(y^2)/(12)