Question

Expand the expression. 2x^2(x + 3)(x–2)

2x3 + 2x2 – 12x

4x3 + 6x2 – 4x2

2x4 + 2x3 – 12x2

Answer 1

Option C

Explanation:

Answer 2

Answer: (A)
`2x^4+2x^3-12x^2` is the correct option.

Step-by-step explanation: We are given to expand the following expression :

`E=2x^2(x+3)(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To expand the given expression, we must multiply each term of every expression to each term of the other two expressions.

The expansion is as follows :

`E\\\\=2x^2(x+3)(x-2)\\\\=2x^2(x^2+3x-2x-6)\\\\=2x^2(x^2+x-6)\\\\=2x^4+2x^3-12x^2.`

Thus, the required expended form is
`2x^4+2x^3-12x^2.`

Option (A) is CORRECT.