What is expand (Ax+B)(Axsin(x)+Bxcos(x)) ?

The solution to expand (Ax+B)(Axsin(x)+Bxcos(x)) is A^2x^2sin(x)+Ax^2Bcos(x)+ABxsin(x)+xB^2cos(x)

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expand (Ax+B)(Axsin(x)+Bxcos(x))

expand

(A x + B) (A x sin (x) + B x cos (x))

A^{2} x^{2} sin (x) + A x^{2} B cos (x) + A B x sin (x) + x B^{2} cos (x)

Solution steps

(A x + B) (A x sin (x) + B x cos (x))

Apply FOIL method

(A x + B) (A x sin (x) + B x cos (x)) : A^{2} x^{2} sin (x) + A x^{2} B cos (x) + A B x sin (x) + x B^{2} cos (x)

= A^{2} x^{2} sin (x) + A x^{2} B cos (x) + A B x sin (x) + x B^{2} cos (x)

\frac{1 - x ^{2} cos ( x )}{( 1 + x sin ( x ) ) ^{2}}

f (x) = \frac{x ^{2} ( x + 1 ) ^{5}}{( x - 1 ) ^{4}}

\frac{s ^{2} - 2 s - 4}{6 ( s ^{3} - 3 s ^{2} - 3 s - 1 )}

x^{2} (1 - y^{2}) \frac{d y}{d x} + y^{2} (1 + x)

2 (5 - 4)

What is expand (Ax+B)(Axsin(x)+Bxcos(x)) ?
The solution to expand (Ax+B)(Axsin(x)+Bxcos(x)) is A^2x^2sin(x)+Ax^2Bcos(x)+ABxsin(x)+xB^2cos(x)