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

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

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

simplify

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

\frac{( 3 x + 1 ) ( 2 x - 1 ) ( 2 - x )}{6}

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{( 3 x + 1 ) ( x \cdot 2 - 1 ) ( 2 - x )}{6}

= \frac{( 3 x + 1 ) ( 2 x - 1 ) ( 2 - x )}{6}

(e^{8 x} + 2)^{2}

- \frac{2 ( e ^{15} - 1 )}{3}

\frac{s ( s ^{2} + 4 s + 8 )}{s + 1}

5 (\frac{x}{5} + 1) (\frac{x}{50} + 1)

sin (6 x) (sin (10 x) + sin (6 x))

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