What is 2x(1-x/3)(x/4-1) ?

The solution to 2x(1-x/3)(x/4-1) is (x(3-x)(-4+x))/6

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simplify 2x(1-x/3)(x/4-1)

simplify

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

\frac{x ( 3 - x ) ( - 4 + x )}{6}

Solution steps

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

Join

1 - \frac{x}{3} : \frac{3 - x}{3}

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

= \frac{x ( 3 - x ) ( - 4 + x )}{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{x ( 3 - x ) ( - 4 + x )}{6}

\frac{16 - x ^{2}}{( x ^{2} + 16 ) ^{2}}

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\frac{x y ( l ^{2} - k ^{2} ) - f ^{2}}{k}

12 cos (t - 2) u (t - 2)

- (x + x y) d y