Question

Simplify completely 8x - 56 over x squared - 49 divided by x - 6 over x squared + 11x + 28.

a.4(x + 4) over x - 3
b.8(x + 2) over x - 3
c.8(x + 4) over x - 7
d.8(x + 4) over x - 6

I have no idea how to solve this. And when I go over the lesson, it doesn't explain how to solve :/

Answer 1

so what is your opinion

8x-56 x-6
-------- / -------------- =
x^2 -49 x^2 +11x +28

from this what will be the first step ?

Answer 2

so from 8x -56 factoriz out the 8 and check wath will get
x^2 -49 look being difference od two squares ,what do you know from this ,formula for this do you know it ?
- when you need dividing two fractions - how do you know what can you make with by second inversed
- x^2 +11x +28 - so in case of this you need getting two numbers with sum 11 and product 28 , can you get these sure right easy ?