Factor \({x}^{2}-5x-66\).
Ask: Which two numbers add up to \(-5\) and multiply to \(-66\)?
Rewrite the expression using the above.
\[(x-11)(x+6)\]
\[\frac{(x-11)(x+6)}{{x}^{2}-18x+77}\]
Factor \({x}^{2}-18x+77\).
Ask: Which two numbers add up to \(-18\) and multiply to \(77\)?
Rewrite the expression using the above.
\[(x-11)(x-7)\]
\[\frac{(x-11)(x+6)}{(x-11)(x-7)}\]
Cancel \(x-11\).
\[\frac{x+6}{x-7}\]
(x+6)/(x-7)
