I chose this because it seems like a useful and easy method to do on most factoring questions that have multiple binomials.

When I’m talking about substituting, I’m talking about replacing a binomial with a variable, for example (3a-4)(a+2) turns into AB, where A is (3a-4) and B is (a+2).

Let’s look at how we can use this to factor.

When we look at the binomials, we notice that we can substitute the binomials for variables to be able to simplify. Let (3a-4) = A, and (a+2) = B

Now the expression has been simplified to

With the expression like this, it is easier to see how we can write this as a product of binomials,

We’re not done yet though, because we have to remember that the variables were substituted. Substituting back gives us:

We can distribute to get ,

Which simplifies to