Question

Which of the following expressions is not equivalent to:

4(3x2 + 6x)

A. 12x^2 + 24x
B. 2x (6x+12)
C. 6x (2x^2 + 4x)
D. 3x (4x +8)

Answer 1

4(3x2 + 6x) = 12x^2+24x


The correct answer is C. 6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Answer 2

Answer:
`6x (2x^2 + 4x)` is not equivalent the given expression.

Explanation:

Here, the given expression,

`4(3x^2+6x) = 4* 3x^2 + 4* 6x= 12x^2+24x`

Expression (A),

`12x^2 + 24x`

Expression (B),

`2x(6x+12)=2x* 6x + 2x* 12=12x^2+24x`

Expression (C),

`6x (2x^2 + 4x)=12x^3+24x`

Expression (D),

`3x (4x +8) = 3x* 4x + 3x* 8 = 12x^2+24x`

Thus, by the above explanation it is clear that only the expression C is not equivalent to the given expression.