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Which is equivalent to 3x3 (2x + y)?

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To simplify the expression
[tex]3x ^ 3 * (2x + y)[/tex], we can distribute the
[tex]3x ^ 3[/tex] to both terms inside the parentheses. The equivalent expression is
[tex]6x^4 + 3x ^ 3 * y[/tex].

The given expression is
[tex]3x ^ 3 * (2x + y)[/tex].

To simplify this expression, we can use the distributive property of multiplication over addition.

We multiply
[tex]3x ^ 3[/tex] with both terms inside the parentheses:


[tex]3x ^ 3 * 2x + 3x ^ 3 * y[/tex]

Applying the power rule of exponents,
[tex]x^n * x^m = x^(n+m)[/tex], the first term simplifies to
[tex]6x^4[/tex].

The second term remains as it is,
[tex]3x ^ 3 * y[/tex].

Therefore, the equivalent expression is
[tex]6x^4 + 3x ^ 3 * y[/tex].

Question:

Which is equivalent to
3x ^ 3 * (2x + y)

A.
6x ^ 4 + y

B.
6x ^ 4 * y

C.
6x ^ 4 + 3y

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

E.
5x ^ 4 + 3x ^ 3 * y

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