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JSS3: MATHEMATICS - 1ST TERM

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



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Topic Content:

  • Difference of Two Squares

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

x2 – ax + ax – a

x2 – a2

The above result is called the difference of two squares.

We can state the above relation as follows:

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

Worked Example 7.2.1:

Factorize the following expression completely:

i. p2 – q2 
ii. (x2 – a2)
iii. 22 – t2
iv. 16s2 – 4t2
v. 121 – 9y2

Solution

i. p2 – q2  = (p – q) (p + q)

This is true because:

⇒ p (p + q) – q (p + q)

⇒ p2 + pq – pq – q2

= p2 – q2

 

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