Question

Simplify completely quantity x squared plus 4 x minus 5 over quantity 5 x squared minus 8 x plus 3 times quantity 20 x minus 12 over x squared minus 6 x minus 55 how do I simplify this?

Answer 1

The way to do is is to write down expression, find factors of each polynomial and than cancel as many as possible. What remains is our simplified version of starting expression.

We start with this:

$\frac{x^2+4x-5}{5x^2 - 8x +3}* \frac{20x-12}{x^2-6x-55}$

Now we factor every polynomial

$\frac{(x+5)(x-1)}{(5x-3)(x-1)}* \frac{4(5x-3)}{(x-11)(x+5)}$

now we can cancel fallowing factors:
5x-3, x-1 and x+5

after that we left with:
$\frac{4}{x-11}$