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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 or the grouping method.

 

 

Example:

Factor the following trinomials:

a) e2 - 6ef + 9f2

b) 2x2 + 7xy - 15y2

 

Solution:

a) e2 - 6ef + 9f2 = (e - 3f)2

b) 2x2 + 7xy - 15y2 = (2x - 3y)(x + 5y)

 

 

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

Factor trinomial containing two variables

 

 

factor trinomial containing two variables

 

 

Factor trinomial with two variables, gcf then grouping

 

 

 

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More Algebra Help at MathWorld
 

 

 

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