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

The solution to (x/3+3y)(x/4+2y) is ((9y+x)(8y+x))/(12)

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

simplify

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

\frac{( 9 y + x ) ( 8 y + x )}{12}

Solution steps

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

Join

\frac{x}{3} + 3 y : \frac{9 y + x}{3}

= \frac{9 y + x}{3} (\frac{x}{4} + 2 y)

Join

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

= \frac{9 y + x}{3} \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{( 9 y + x ) ( 8 y + x )}{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= \frac{( 9 y + x ) ( 8 y + x )}{12}

\frac{2 x}{( x - 3 ) ^{4} - y ^{4}}

(4) (- 4) (- 8) (- 12) (- 16) (- 20)

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

\frac{( x + a ) ( x + b )}{( x + 22 ) ( x + 26 )}

What is (x/3+3y)(x/4+2y) ?
The solution to (x/3+3y)(x/4+2y) is ((9y+x)(8y+x))/(12)