How to factor Trinomials with two variables? Sometimes a trinomial may consists of two variables. We can factor the trinomial in a similar way as if it has only one variable. We can use the trial and error method (reverse FOIL method), the grouping method or the AC method.

### Videos

The following videos show how to factor trinomials with two variables.

Factor trinomials with two variables and a = 1

Some strategies to factorize trinomials that have a = 1

Factor trinomial containing two variables
Factor trinomial containing two variables

Factor trinomial with two variables, gcf then grouping
Factoring a trinomial with two variables using the AC Method

Factor Trinomials - Two Variables

Using the reverse FOIL or trial and error method.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics: Factoring Trinomials

* Example: *

Factor the following trinomials:

a) *e*^{2}* − *6*ef + *9*f*^{2
}b) 2*x*^{2} + 7*xy* *−* 15*y*^{2}

* Solution: *

a) *e*^{2 }*−* 6*ef + *9*f*^{2}* = *(*e* *−* 3*f*)^{}^{2 }*
*b) 2

Factor trinomials with two variables and a = 1

Some strategies to factorize trinomials that have a = 1

Factor Trinomials - Two Variables

Using the reverse FOIL or trial and error method.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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