What is expand-(2(-9xcos(9x)+sin(9x)))/(2187) ?

The solution to expand-(2(-9xcos(9x)+sin(9x)))/(2187) is (2xcos(9x))/(243)-(2sin(9x))/(2187)

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expand-(2(-9xcos(9x)+sin(9x)))/(2187)

expand

- \frac{2 ( - 9 x cos ( 9 x ) + sin ( 9 x ) )}{2187}

\frac{2 x cos ( 9 x )}{243} - \frac{2 sin ( 9 x )}{2187}

Solution steps

- \frac{2 ( - 9 x cos ( 9 x ) + sin ( 9 x ) )}{2187}

Expand

2 (- 9 x cos (9 x) + sin (9 x)) : - 18 x cos (9 x) + 2 sin (9 x)

= - \frac{- 18 x cos ( 9 x ) + 2 sin ( 9 x )}{2187}

Apply the fraction rule:

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

\frac{- 18 x cos ( 9 x ) + 2 sin ( 9 x )}{2187} = - (- \frac{18 x cos ( 9 x )}{2187}) - (\frac{2 sin ( 9 x )}{2187})

= - (- \frac{18 x cos ( 9 x )}{2187}) - (\frac{2 sin ( 9 x )}{2187})

Remove parentheses:

(a) = a, - (- a) = a

= \frac{18 x cos ( 9 x )}{2187} - \frac{2 sin ( 9 x )}{2187}

Cancel

\frac{18 x cos ( 9 x )}{2187} : \frac{2 x cos ( 9 x )}{243}

= \frac{2 x cos ( 9 x )}{243} - \frac{2 sin ( 9 x )}{2187}

(1 - 2 x + x^{2})^{5}

(3 x^{2} - 5 x) e^{x}

(y^{3} + k x y^{4} - 2 x) d x

(\frac{t ^{3}}{3} + \frac{1}{4 t ^{2}}) d t

(1 + e^{\frac{1}{x}})^{2}

What is expand-(2(-9xcos(9x)+sin(9x)))/(2187) ?
The solution to expand-(2(-9xcos(9x)+sin(9x)))/(2187) is (2xcos(9x))/(243)-(2sin(9x))/(2187)