Question

Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

12x3 + 25x2 + 9

12x3 − 25x2 − 9

12x3 + 25x2 − 9

12x3 − 25x2 + 9 Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

12x3 + 25x2 + 9

12x3 − 25x2 − 9

12x3 + 25x2 − 9

12x3 − 25x2 + 9

Answer 1

`12x^(3)-25x^(2)+9`

Explanation:

1. Write down the equation:

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

2. Multiply the first term on the left parenthesis by each term on the right parenthesis:

`4x*3x^(2)=12x^(3)`

`4x*(-4x)=-16x^(2)`

`4x*(-3)=-12x`

3. Multiply the second term on the left parenthesis by each term on the right parenthesis:

`-3*(3x^(2))=-9x^(2)`

`-3*(-4x)=12x`

`-3*(-3)=9`

4. Add up all the terms:

`12x^(3)-16x^(2)-12x-9x^(2)+12x+9`

Simplify:

`12x^(3)-25x^(2)+9`

Answer 2

Answer:
`12x^3-25x^2+9`

Explanation:

Given expression:
`(4x-3)(3x^2-4x-3)`

To simplify the above expression we apply the distributive property [ (b+c)a=ba+ca, where a,b, c be any expression] we get ,

`(4x-3)(3x^2-4x-3)\\\\=4x(3x^2-4x-3)-3(3x^2-4x-3)\\\\=12x^(1+2)-16x^(1+1)-12x-9x^2+12x+9.......\text{[by law of exponents]}\\\\=12x^(3)-16x^(2)-12x-9x^2+12x+9\\\\\text{Combing like terms, we get}\\\\=12x^3-(16+9)x^2-12x+12x+9\\\\=12x^3-25x^2+9`