Question

which is equivalent to $3x^3(2x + y)$?

a. $6x^4 + y$

b. $6x^4y$

c. $6x^4 + 3y$

d. $6x^4 + 3x^3y$

e. $5x^4 + 3x^3y$

Explanation:

Step1: Apply distributive property

$3x^3(2x + y) = 3x^3 \cdot 2x + 3x^3 \cdot y$

Step2: Multiply terms with exponents

$3x^3 \cdot 2x = 6x^{3+1} = 6x^4$; $3x^3 \cdot y = 3x^3y$

Step3: Combine the results

$6x^4 + 3x^3y$

Answer:

D. $6x^4 + 3x^3y$