What is expand (v+1)(vdy+ydv) ?

The solution to expand (v+1)(vdy+ydv) is v^2dy+vydv+vdy+ydv

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expand (v+1)(vdy+ydv)

expand

(v + 1) (v d y + y d v)

v^{2} d y + v y d v + v d y + y d v

Solution steps

(v + 1) (v d y + y d v)

Apply FOIL method:

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

a = v, b = 1, c = v d y, d = y d v

= vv d y + v y d v + 1 \cdot v d y + 1 \cdot y d v

Simplify

vv d y + v y d v + 1 \cdot v d y + 1 \cdot y d v : v^{2} d y + v y d v + v d y + y d v

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

\frac{1}{( s + 7 ) ( s - 5 ) ( s + 12 )}

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\frac{( 1 - j ^{2} ) e ^{(0.5 - j^{1.047})}}{( 3 - j ^{4} )}

\frac{2}{( x - 5 ) ^{6}}

What is expand (v+1)(vdy+ydv) ?
The solution to expand (v+1)(vdy+ydv) is v^2dy+vydv+vdy+ydv