Factor: xy 7x 7y x2
Practice factoring: xy 7x 7y x2. Two different factorable groups are demonstrated.
Terms Can Be Grouped Differently
There is often more than one way to group a polynomial expression for factoring. The commutative law can be applied to rearrange the terms into different factorable groups.
Factor: ax 3x 3b 3y
A polynomial with four terms can be factored by grouping when there is no factor common to all four terms. The procedure is demonstrated and the process checked using the FOIL method and applying the commutative law.
Division and Subtraction and not Commutative
Subtraction and division are not commutative.
Commutative, Associative, and Distributive Laws, The
Why the commutative, associative, and distributive laws are important to algebraic operations.
Using the Commutative and Associative Laws Together
The commutative and associative laws for addition can be combined. Demonstration of using the associative and commutative laws together in an addition problem.