What is expand (a+bx)(cos(5x)+sin(5x)) ?

The solution to expand (a+bx)(cos(5x)+sin(5x)) is acos(5x)+asin(5x)+bxcos(5x)+bxsin(5x)

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expand (a+bx)(cos(5x)+sin(5x))

expand

(a + b x) (cos (5 x) + sin (5 x))

a cos (5 x) + a sin (5 x) + b x cos (5 x) + b x sin (5 x)

Solution steps

(a + b x) (cos (5 x) + sin (5 x))

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

(a + b x) (cos (5 x) + sin (5 x)) = a cos (5 x) + a sin (5 x) + b x cos (5 x) + b x sin (5 x)

= a cos (5 x) + a sin (5 x) + b x cos (5 x) + b x sin (5 x)

e^{x s i n (x)} + e^{x s i n (x)} x (sin (x) + x cos (x))

(- x + 2 - 3) (x + 2 - 3)

(4 x^{2} + 5 y^{2}) i + 3 x y j

2 (x y)

\frac{\partial}{\partial y} ((z) (7 x + 8 y^{2}))

What is expand (a+bx)(cos(5x)+sin(5x)) ?
The solution to expand (a+bx)(cos(5x)+sin(5x)) is acos(5x)+asin(5x)+bxcos(5x)+bxsin(5x)