What is expand 4sqrt(d)(2sqrt(d)+3sqrt(e)) ?

The solution to expand 4sqrt(d)(2sqrt(d)+3sqrt(e)) is 8d+12sqrt(e)sqrt(d)

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expand 4sqrt(d)(2sqrt(d)+3sqrt(e))

expand

4 d (2 d + 3 e)

8 d + 12 e d

Solution steps

4 d (2 d + 3 e)

Apply the distributive law:

a (b + c) = ab + a c

a = 4 d, b = 2 d, c = 3 e

= 4 d \cdot 2 d + 4 d \cdot 3 e

= 4 \cdot 2 d d + 4 \cdot 3 e d

Simplify

4 \cdot 2 d d + 4 \cdot 3 e d : 8 d + 12 e d

= 8 d + 12 e d

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\frac{1}{5} (3 + ln (18))

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2 (x + 2 - 2 ln (x + 2)) + c

What is expand 4sqrt(d)(2sqrt(d)+3sqrt(e)) ?
The solution to expand 4sqrt(d)(2sqrt(d)+3sqrt(e)) is 8d+12sqrt(e)sqrt(d)