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

The solution to expand ((x-4)(3x-1))/2 is (3x^2)/2-(13x)/2+2

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

expand

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

\frac{3 x ^{2}}{2} - \frac{13 x}{2} + 2

Solution steps

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

Expand

(x - 4) (3 x - 1) : 3 x^{2} - 13 x + 4

= \frac{3 x ^{2} - 13 x + 4}{2}

Apply the fraction rule:

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

\frac{3 x ^{2} - 13 x + 4}{2} = \frac{3 x ^{2}}{2} - \frac{13 x}{2} + \frac{4}{2}

= \frac{3 x ^{2}}{2} - \frac{13 x}{2} + \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= \frac{3 x ^{2}}{2} - \frac{13 x}{2} + 2

a (- 3, - 1)

5 x (2 x - 3) (4 x + 9) (x - 3) (x + 3)

(2 m^{2 - m}) (7 m^{2 - 8 m + 5})

(\frac{1}{2} - \frac{3}{2})^{16}

cos (10 (t - 4))

What is expand ((x-4)(3x-1))/2 ?
The solution to expand ((x-4)(3x-1))/2 is (3x^2)/2-(13x)/2+2