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

The solution to (x/4+3y)(x/4+2y) is ((12y+x)(8y+x))/(16)

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

simplify

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

\frac{( 12 y + x ) ( 8 y + x )}{16}

Solution steps

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

Join

\frac{x}{4} + 3 y : \frac{12 y + x}{4}

= \frac{12 y + x}{4} (\frac{x}{4} + 2 y)

Join

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

= \frac{12 y + x}{4} \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{( 12 y + x ) ( 8 y + x )}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( 12 y + x ) ( 8 y + x )}{16}

(900 - 0.01 x ln (x)) x

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

(- \frac{1}{8} + \frac{3}{8} x)^{2}

- 2 x ((2 e^{4} x - 2) y ln (3 y) + (e^{4} x + 1) z) y

(\frac{2}{3} x + 1) (\frac{1}{5} x - \frac{1}{4})

What is (x/4+3y)(x/4+2y) ?
The solution to (x/4+3y)(x/4+2y) is ((12y+x)(8y+x))/(16)