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Factorise algebraic expressions by taking out a common algebraic factor (VCMNA329)

[/fusion_text][fusion_text]LO: To factorise algebraic expressions by taking out a common algebraic factor.
Know:

How to find common factors
How to find common algebraic factors
What is an algebraic expression

Understand:

That we can factorise algebraic expressions by taking out common algebraic factors.

Do:

I can factorise algebraic expressions.

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Distributive Law

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The distributive law means to multiply the coefficient (number/letters outside of the brackets) by all of the contents inside of the brackets.

In this case, the coefficient is k and I’m going to multiply it by “a” and “b”, which gives me a new expression of ka + kb.

Factorising is the opposite action of expanding brackets.

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The first step to help you factorise common algebraic factors is to break each individual term into expanded form.

In this scenario, we know that 3xy^2 can be expanded into 3 x (x) x (y) x (y).

12x^2y can be expanded into 12 x x x x x y or if I want to go even further I can go 2 x 2 x 3 x (x) x (x) x (y).

Now if you look at both lists, 3 x (x) x (y) is common between both lists, so they can not be removed to the outside of the brackets, leaving everything else inside the brackets.

3xy(y + 4x)

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Factorising Algebraic Expression Videos

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Student Generated Videos

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Textbook Questions

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My Maths 10

Ex 2D pg. 74 Q. 2, 4

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