Question

Simplify x^2-12x+20/x-10:
A. x-2
B. x-2/x-10
C. x-2/10
D. x-10/x-2

Answer 1

Is that \[ \frac{x^2 - 12x + 20}{x - 10}\]?

Answer 2

Yes

Answer 3

\[=((x-10)(x-2))/(x-10)\]
when\[x \neq 10\]
=\[x-2\]

Answer 4

So what you have up the top is a quadratic. We can factorise this and see what we get.

\[\frac{(x - 10)(x - 2)}{x - 10}\]

Can you see any way to simplify this?

Answer 5

Cancel (x-10) on both sides to leave the answer as (x-2)

Answer 6

Yep. Well done.

Answer 7

Thank you!