What is expand (-2y)(dy*v+y*dv) ?

The solution to expand (-2y)(dy*v+y*dv) is -2yvdy-2y^2dv

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expand (-2y)(dyv+ydv)

expand

(- 2 y) (d y \cdot v + y \cdot d v)

- 2 y v d y - 2 y^{2} d v

Solution steps

(- 2 y) (d y v + y d v)

= (- 2 y) (v d y + y d v)

Apply the distributive law:

a (b + c) = ab + a c

a = (- 2 y), b = d y v, c = y d v

= (- 2 y) d y v + (- 2 y) y d v

= v (- 2 y) d y + y (- 2 y) d v

Simplify

v (- 2 y) d y + y (- 2 y) d v : - 2 y v d y - 2 y^{2} d v

= - 2 y v d y - 2 y^{2} d v

\frac{( w - 20 ) ( 180 - w )}{2}

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

1 + \frac{1}{( 0.3 s + 1 ) \cdot ( s + 1 ) \cdot ( 1.2 s + 1 )}

\frac{b !}{( s - a ) n}

(3 π e^{z} - 5 z^{7}) \cdot arcsin (z)

What is expand (-2y)(dy*v+y*dv) ?
The solution to expand (-2y)(dy*v+y*dv) is -2yvdy-2y^2dv