anonymous 4 years ago Simplify: x squared minus 10x + 9 over x squared + 2x minus 3

1. anonymous

$x ^{2}-10x+9 \over x ^{2}+2x-3$

2. anonymous

x^2 - 10x + 9 = (x-1) (x-9) x^2 + 2x - 3 = (x - 1) (x + 3)

3. anonymous

$\frac{(x-1)(x-9)}{(x-1)(x+3)}$

4. anonymous

(x-9)(x-1) ---------- (x-1)(x+3)

5. anonymous

so cancels x - 1

6. anonymous

$\frac{(x-9)}{(x+3)}$

7. anonymous

Thanks :)