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Popular >

expand (dz+2dy)(z+1)

Solution

expand

(d z + 2 d y) (z + 1)

Solution

z d z + d z + 2 z d y + 2 d y

Solution steps

(d z + 2 d y) (z + 1)

Apply FOIL method:

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

a = d z, b = 2 d y, c = z, d = 1

= d zz + d z \cdot 1 + 2 d yz + 2 d y \cdot 1

= z d z + 1 \cdot d z + 2 z d y + 2 \cdot 1 \cdot d y

Simplify

z d z + 1 \cdot d z + 2 z d y + 2 \cdot 1 \cdot d y : z d z + d z + 2 z d y + 2 d y

= z d z + d z + 2 z d y + 2 d y

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Frequently Asked Questions (FAQ)

What is expand (dz+2dy)(z+1) ?
The solution to expand (dz+2dy)(z+1) is zdz+dz+2zdy+2dy