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)

Answer 1

Given rational expression is:

$\frac{(4x^2-32x+48)}{(3x^2-17x-6)}$

Now we can simplify this by factoring as shown below:

$=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}$

$=\frac{4(x-2)}{(3x+1)}$

Hence final answer is $\frac{4(x-2)}{(3x+1)}$