Question

What is the product of (4x - 2)(2X2 + 3)?A. 12x3 - 6x2 + 8x - 4O B. 12x8 + 6x2 + 8x+ 4C. 8x3+4x2+ 12x + 6D. 8x3 - 4x2 + 12x - 6SI

Answer 1

The given expression is,

`(4x-2)(2x^2+3)\text{ ----(1)}`

We know, (a+b)(c+d)=a(b+c)+b(c+d).

Hence, applying the above indentity to expression (1),

`4x(2x^2+3)-2(2x^2+3)`

Also, a(b+c)=ab+ac. Applying this identity to the above expression, we get

`4x*2x^2+4x*3-2*2x^2-2*3`

Multiplying the terms,

`8x^3+12x-4x^2-6`

Rearrange the terms.

`8x^3-4x^2+12x-6`

Therefore, the product of the given expression is,

`8x^3-4x^2+12x-6`

Hence, option (D) is correct.