What is (x-1/2)(6x+2) ?

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

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simplify (x-1/2)(6x+2)

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Factor

6 x + 2 : 2 (3 x + 1)

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

Cancel the common factor:

2

= (2 x - 1) (3 x + 1)

2 ((x - 1)^{2} + 2)

\frac{1 - cos ^{2} ( θ )}{cos ^{2} ( θ )}

\frac{x ^{2} sin ( x )}{x}

\frac{5 i}{( 1 - i ) ( 2 - i ) ( 3 - i )}

1 - \frac{7}{2}