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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
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(x + a) (x – a) = x(x  – a ) + a (x – a )

x2 – ax + ax – a

x 2 – a2

The above result is called the difference of two squares

We can state the above relating as follows.

The difference of two squares is equal to the product of their sum and their difference.

Factorize the following expression completely

i. p2 – q2  = (p – q) (p + q)

p (p + q) – q (p + q)

p2 + pq – pq – q2

p2 – q2

ii. (x – a)2 = x2a2 

= (xa) (x + a)

x (x + a) – a (x + a)

x2 + ax – ax – a2

x2 – a2

iii. 22 – t2   =  (2)2 – (t)2

= (2 – t) (2 + t)

iv. 16s2 – 4t2 = (4s)2 – (2t)2

= (4s – 2t) (4s + 2t)

v. 121 – 9y2 = (11)2 – (3y)2

= (11 – 3y) (11 + 3y)

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