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Consider the expression a(b + c).
This expression represents the area of the 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 1
Solution:
Example 2
Solution:
Example 3
Solution:
Example 4
Solution:
Example 5
Solution:
Key Terms
distributive law
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