What is expand ((x-2)6sin(x))/(|x-2|) ?

The solution to expand ((x-2)6sin(x))/(|x-2|) is (6xsin(x))/(|x-2|)-(12sin(x))/(|x-2|)

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expand ((x-2)6sin(x))/(|x-2|)

expand

\frac{( x - 2 ) 6 sin ( x )}{∣ x - 2 ∣}

\frac{6 x sin ( x )}{∣ x - 2 ∣} - \frac{12 sin ( x )}{∣ x - 2 ∣}

Solution steps

\frac{( x - 2 ) \cdot 6 sin ( x )}{∣ x - 2 ∣}

Expand

(x - 2) \cdot 6 sin (x) : 6 x sin (x) - 12 sin (x)

= \frac{6 x sin ( x ) - 12 sin ( x )}{∣ x - 2 ∣}

Apply the fraction rule:

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

\frac{6 x sin ( x ) - 12 sin ( x )}{∣ x - 2 ∣} = \frac{6 x sin ( x )}{∣ x - 2 ∣} - \frac{12 sin ( x )}{∣ x - 2 ∣}

= \frac{6 x sin ( x )}{∣ x - 2 ∣} - \frac{12 sin ( x )}{∣ x - 2 ∣}

\frac{e ^{x} - 1 - x}{x ( e ^{x} - 1 )}

a (1, 3, 4) B (2, 4, - 1)

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

\frac{1}{( 3 n - 4 a ^{3} ) ^{2}}

(cos (5 x) + cos (10 x) + cos (15 x))^{2}

What is expand ((x-2)6sin(x))/(|x-2|) ?
The solution to expand ((x-2)6sin(x))/(|x-2|) is (6xsin(x))/(|x-2|)-(12sin(x))/(|x-2|)