What is expand (xcos(x))(sin(x)+xcos(x)) ?

The solution to expand (xcos(x))(sin(x)+xcos(x)) is xcos(x)sin(x)+x^2cos^2(x)

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expand (xcos(x))(sin(x)+xcos(x))

expand

(x cos (x)) (sin (x) + x cos (x))

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

Solution steps

(x cos (x)) (sin (x) + x cos (x))

Apply the distributive law:

a (b + c) = ab + a c

(x cos (x)) (sin (x) + x cos (x)) = x cos (x) sin (x) + x cos (x) x cos (x)

= x cos (x) sin (x) + x cos (x) x cos (x)

Simplify

x cos (x) x cos (x) : x^{2} cos^{2} (x)

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

(a - ib)^{2}

(6 - 5 y i)^{2}

\frac{d ^{2}}{d x ^{2}} ((y) (- x^{2} y^{3} + 4 x y^{2} + 12 x y))

(3 + x 2)^{2}

What is expand (xcos(x))(sin(x)+xcos(x)) ?
The solution to expand (xcos(x))(sin(x)+xcos(x)) is xcos(x)sin(x)+x^2cos^2(x)