Factoring by Grouping Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Factor xy+3x+2y+6xy + 3x + 2y + 6.

Solution

  1. 1
    Group: (xy+3x)+(2y+6)=x(y+3)+2(y+3)(xy + 3x) + (2y + 6) = x(y + 3) + 2(y + 3).
  2. 2
    (x+2)(y+3)(x + 2)(y + 3).

Answer

(x+2)(y+3)(x + 2)(y + 3)
Factoring by grouping also works with two variables. Group so that each pair shares a common factor and the remaining binomials match.

About Factoring by Grouping

A factoring technique for polynomials with four or more terms: group terms into pairs, factor the GCF from each pair, then factor out the common binomial factor.

Learn more about Factoring by Grouping →

More Factoring by Grouping Examples

Example 1 medium

Factor [formula] by grouping.

Example 2 hard

Factor [formula] by grouping.

Example 4 medium

Factor [formula].

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