What is expand+(-xsin(y))(y+dy) ?

The solution to expand+(-xsin(y))(y+dy) is -xysin(y)-xsin(y)dy

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expand+(-xsin(y))(y+dy)

expand

+ (- x sin (y)) (y + d y)

- x y sin (y) - x sin (y) d y

Solution steps

(- x sin (y)) (y + d y)

Apply the distributive law:

a (b + c) = ab + a c

a = (- x sin (y)), b = y, c = d y

= (- x sin (y)) y + (- x sin (y)) d y

= y (- x sin (y)) + (- x sin (y)) d y

Remove parentheses:

(- a) = - a

= - x y sin (y) - x sin (y) d y

\frac{x}{( x - 7 ) ( x + 2 )}

3 (2 x + 4 = 54)

(3 - x)^{2} + co n s tan (t) e

\frac{3 ( u + 6 )}{u - 6}

2 n \cdot 4 n^{4}

What is expand+(-xsin(y))(y+dy) ?
The solution to expand+(-xsin(y))(y+dy) is -xysin(y)-xsin(y)dy