How to simplify rational expressions

(a - 1)/(3a - 2)

Step-by-step explanation:

First lets find a common factor in all of those numbers. We can factor out 'a'!

We're then left with (2a^2 + a - 3)/(6a^2 + 5a - 6)

Now we need to find some more factors.

Lets start at the top.

Factors of -3 are -1, 3, -3, 1

We can therefore factorize the top line to be:

(2a + 3)(a - 1)/(6a^2 + 5a -6)

Sweet! Now lets see if one of those two factors is a factor of the bottom line.

Factors of -6 are -1, 6, 2, -3, -2, 3, -6, 1

We can factorize the bottom line!

(2a + 3)(a - 1)/(3a - 2)(2a + 3)

Now to simplify

= (a - 1)/(3a - 2)

annnd we are done.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

two? xd

step-by-step explanation: