What is expand (u-2)(3dy-du) ?

The solution to expand (u-2)(3dy-du) is 3udy-udu-6dy+2du

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expand (u-2)(3dy-du)

expand

(u - 2) (3 d y - d u)

3 u d y - u d u - 6 d y + 2 d u

Solution steps

(u - 2) (3 d y - d u)

Apply FOIL method:

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

a = u, b = - 2, c = 3 d y, d = - d u

= u \cdot 3 d y + u (- d u) + (- 2) \cdot 3 d y + (- 2) (- d u)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 3 u d y - u d u - 2 \cdot 3 d y + 2 d u

Multiply the numbers:

2 \cdot 3 = 6

= 3 u d y - u d u - 6 d y + 2 d u

\frac{- 1 - 7 x}{2 ( - 3 + x )}

(1 + e \cdot t)^{2}

\frac{4 h}{( 2 x + 2 h + 1 ) ( 2 x + 1 )}

d x + (x e^{x y} + 2 x y + \frac{1}{x}) d y

\frac{( 1 )}{( 5 x + 1 ) ^{3}}

What is expand (u-2)(3dy-du) ?
The solution to expand (u-2)(3dy-du) is 3udy-udu-6dy+2du