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Topic Content:
- Simplifying Calculations by Factorization
Factorization can be applied to simplify some calculations by taking out the common factors.
Worked Example 5.4.1:
Solve these expressions by factorization:
a. (30 × 9) + (30 × 12)
b. (300 × 5) + (5 × 210)
c. (145 × 120) + (47 × 120)
d. (50 × 17) – (18 × 17) + (17 × 30)
Solution
a. (30 × 9) + (30 × 12)
⇒ 30 is a common factor so place it outside the brackets.
⇒ 30 (9 + 12)
= 30 × 21
= 630
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