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

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

Popular >

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

simplify

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

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

Solution steps

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

Simplify

x + \frac{1}{2} : \frac{2 x + 1}{2}

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

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

(- i, - 2 j, 3 k) \cdot (- 3 i, 0 j, k)

\frac{7 x ^{2} + 5 x + 7}{( x - 2 ) ( x ^{2} + 2 x + 1 )}

(161 - \frac{x}{10}) \cdot x

e^{y} (1 + x^{2}) y^{'} (x) - x (1 + e^{y})

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