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Year 8 Interactive Maths - Second Edition


The Distributive Law

Consider the expression a(b + c).

This expression represents the area of a rectangle of length b + c and width a.  So, this expression can be represented as:

This can be split up into two parts as follows:

Now, the sum of the areas of the rectangles = ab + ac.

This suggests that:

This is called the Distributive Law.


Example 14

Solution:


Example 15

Solution:


Example 16

Solution:


Key Terms

Distributive Law


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