What is expand (x+dx)(cos(y)) ?

The solution to expand (x+dx)(cos(y)) is xcos(y)+cos(y)dx

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expand (x+dx)(cos(y))

expand

(x + d x) (cos (y))

x cos (y) + cos (y) d x

Solution steps

(x + d x) (cos (y))

= (cos (y)) (x + d x)

Apply the distributive law:

a (b + c) = ab + a c

a = (cos (y)), b = x, c = d x

= (cos (y)) x + (cos (y)) d x

= x (cos (y)) + (cos (y)) d x

Remove parentheses:

(a) = a

= x cos (y) + cos (y) d x

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What is expand (x+dx)(cos(y)) ?
The solution to expand (x+dx)(cos(y)) is xcos(y)+cos(y)dx