Question

Which factor can you cancel from the numerator and denominator to simplify 7 times x minus 21 all over 18 minus 6 times x.?

Answer 1

\[\Large \frac{7x-21}{18-6x}\]Factoring a 7 out of each term in the top,\[\Large \frac{7(x-3)}{18-6x}\]Factoring a 6 out of each term in the denominator,\[\Large \frac{7(x-3)}{6(3-x)}\]This next step is a little tricky, lemme know if it confuses you.
We want to factor out a -1 from each term in the denominator,\[\Large \frac{7(x-3)}{-6(x-3)}\]

See our cancellation from here?
Hah, you're a duck! :D

Answer 2

so > 7 from the numerator and 6 from the denominator ?

Answer 3

and yes yes i am :D

Answer 4

We had to do some factoring to find our `matching` factor in the numerator and denominator.

The `matching` factors are the ones that will cancel out.

Answer 5

ohh i see

Answer 6

OHHHHHH thanks mate haha XD

Answer 7

np c: