15a²b - 10ab² =

I am trying to learn how to do factoring in Alg II

To factor the expression 15a²b - 10ab², we need to find the common factors between the terms.

Step 1: Identify the common factors
In this case, both terms have a common factor of 5ab.

Step 2: Divide each term by the common factors
Dividing the terms by 5ab, we get:
(15a²b) ÷ (5ab) - (10ab²) ÷ (5ab)

Simplifying further:
= 3a - 2b

So, the factored form of 15a²b - 10ab² is 3a - 2b.

To learn more about factoring, you can follow these steps:

1. Look for the greatest common factor (GCF) of the given expression. It is the largest number or algebraic term that divides evenly into every term.
2. Divide each term by the GCF and rewrite the expression using these quotients.
3. Look for further factoring opportunities within the resulting expression, such as common binomial factors or perfect squares.
4. Continue factoring until you cannot factor any further.

Practice factorizing various expressions to become more skilled in factoring.

as 5ab is the common factor between these two terms, we take that factor out. Hence the answer is

5ab(3a-2b)