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

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

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

simplify

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

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

Solution steps

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

Simplify

x + \frac{1}{4} : \frac{4 x + 1}{4}

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

Apply the fraction rule:

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

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

Cancel

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

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

(3 x + 7) (3 x - 7)

(x - 9 + 2) (x - 9 - 2)

\frac{9 + ( - 33 )}{4}

(e^{x} - 1)^{4}

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