Question

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

Answer 1

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`