Question

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point)

4 open parentheses x minus 2 over quantity 3 x plus 1
4 open parentheses x minus 2 over quantity 3 x plus 2
4 open parentheses x minus 6 close parentheses over 3 open parentheses x plus 1 close parentheses
4 open parentheses x minus 6 close parentheses over 3 open parentheses x plus 2

Answer 1

Answer:a

Step-by-step explanation:test

Answer 2

Given rational expression is:

`((4x^2-32x+48))/((3x^2-17x-6))`

Now we can simplify this by factoring as shown below:

`=(4(x^2-8x+12))/((3x^2-17x-6))`

`=(4(x-2)\left(x-6\right))/((3x^2-18x+1x-6))`

`=(4(x-2)\left(x-6\right))/(3x\left(x-6\right)+1\left(x-6\right))`

`=(4(x-2)\left(x-6\right))/((3x+1)\left(x-6\right))`

`=(4(x-2))/((3x+1))`

Hence final answer is
`(4(x-2))/((3x+1))`