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JSS3: MATHEMATICS - 1ST TERM

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  1. Binary Number System I | Week 1
    5Topics
    |
    1 Quiz
  2. Binary Number System II | Week 2
    6Topics
    |
    1 Quiz
  3. Word Problems I | Week 3
    4Topics
    |
    1 Quiz
  4. Word Problems with Fractions II | Week 4
    1Topic
    |
    1 Quiz
  5. Factorisation I | Week 5
    4Topics
    |
    1 Quiz
  6. Factorisation II | Week 6
    3Topics
    |
    1 Quiz
  7. Factorisation III | Week 7
    3Topics
    |
    1 Quiz
  8. Substitution & Change of Subject of Formulae | Week 8
    2Topics
    |
    1 Quiz
  9. Simple Equations Involving Fractions | Week 9
    3Topics
    |
    1 Quiz
  10. Word Problems | Week 10
    1Topic
    |
    1 Quiz
Lesson 5, Topic 4
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Simplifying Calculations by Factorisation

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Factorization can be applied to simplify some calculations by taking out the common factors.

Examples

Solve these expressions by factorisation. 

a. (30 x 9) + (30 x 12)

30 is a common factor so place it outside the bracket.

30 (9 + 12) = 30 x 21 = 630

b. (300 x 5) + (5 x 210)

5 is a common factor so place it outside the bracket.

5 (300 + 210) = 5 x 510 = 2550

c. (145 x 120) + (47 x 120)

120 is a common factor so place it outside the bracket.

120(145 + 47)

120(192) 

=  120 x 192

= 23,040

d. (50 x 17) – (18 x 17) + (17 x 30)

17 is a common factor so place it outside the bracket.

17(50 – 18 + 30)

17(62)

= 17 x 62

= 1054

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