What is (x/6+3y)(x/4+2y) ?

The solution to (x/6+3y)(x/4+2y) is ((18y+x)(8y+x))/(24)

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simplify (x/6+3y)(x/4+2y)

simplify

(\frac{x}{6} + 3 y) (\frac{x}{4} + 2 y)

\frac{( 18 y + x ) ( 8 y + x )}{24}

Solution steps

(\frac{x}{6} + 3 y) (\frac{x}{4} + 2 y)

Join

\frac{x}{6} + 3 y : \frac{18 y + x}{6}

= \frac{18 y + x}{6} (\frac{x}{4} + 2 y)

Join

\frac{x}{4} + 2 y : \frac{8 y + x}{4}

= \frac{18 y + x}{6} \cdot \frac{8 y + x}{4}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 18 y + x ) ( 8 y + x )}{6 \cdot 4}

Multiply the numbers:

6 \cdot 4 = 24

= \frac{( 18 y + x ) ( 8 y + x )}{24}

sin (\frac{( 2 m + 1 ) π}{2})

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

\frac{π ( 1 + 2 )}{2}

\frac{1}{( s - 1 ) ( s + 2 )}

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

What is (x/6+3y)(x/4+2y) ?
The solution to (x/6+3y)(x/4+2y) is ((18y+x)(8y+x))/(24)