This shows not only the topic but also a review on some concept and exercises to master the concept.

1. FACTORING
DIFFERENCE OF
TWO SQUARES
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2. HOW DO WE FACTOR
DIFFERENCE OF
TWO SQUARES?
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3. SUBTRACTION
OF INTEGERS
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4. To subtract two signed
numbers, change the sign of
the subtrahend and change the
subtraction sign to addition.
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RULE:

5. SUBTRACTION
OF INTEGERS
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6. 1.
(11) – (7)
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7. 2.
(8) – (13)
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8. 3.
(15) – (-2)
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9. 4.
(-9) – (6)
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10. 5.
(-10) – (-4)
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11. 1. 4 4. -
15
2. -5 5. -6
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ANSWERS

12. Perfect
Square
NumbersLyn On Me

13. Perfect Square Numbers
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1, 4, 9, 16, 25,
36,49, __, __, __

14. Perfect Square Numbers
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1, 4, 9, 16, 25,
36,49, 64, 81, 100

15. Product
4 16
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4●4
term
= (4)2
base
exponent

16. Product
5m 25m2
2b3 4b6
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term
(5m)2 =
(2b3)2 =
a a●a = (a)2 a2

17. Product
7 49
9a 81a2
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7●7
9a●9a
term
= (7)2
= (9a)2

18. 1. 8a5 = 64a10
2. -3 = 9
3. y3
4. -10m
5. 7a2b4
= y6
= 100m2
= 49a4b8
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Term Product
(8a5)2
(y3)2
(7a2b4)2

19. 1. 8a5 = 64a10
2. -3 = 9
3. y3
4. -10m
5. 7a2b4
= y6
= 100m2
= 49a4b8
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Term Product
(-3)2
(-10m)2

20. 1. 8a5 = 64a10
2. -3 = 9
3. y3
4. -10m
5. 7a2b4
= y6
= 100m2
= 49a4b8
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Term Product
(8a5)2
(-3)2
(y3)2
(-10m)2
(7a2b4)2

21. (7m)21. 49m2
(6)22. 36
(y4)2
(8xy)2
(9ab3)2
3. y8
4. 64x2y2
5. 81a2b6
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EXERCISES Given Square of a Monomial

22. HOW DO WE FACTOR
DIFFERENCE OF
TWO SQUARES?
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23. The DIFFERENCE OF
TWO SQUARES is the
PRODUCT of the SUM and
DIFFERENCE of TWO
TERMS. Lyn On Me

24. In symbols,
a2 - b2
= (a + b)(a - b)
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25. Illustrative Example 1
Factor 25x2 – 9.
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26. 25x2 – 9
= (5x)2 – (3)2
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Step 1:
(a)2 (b)2

27. = (5x+3)(5x-3)
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25x2 – 9
= (5x)2 – (3)2
( a + b ) ( a - b)
(a)2 (b)2
Step 2:

28. = (5x+3)(5x-3)
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Step 2:
25x2 – 9

29. (5x+3)(5x-3)
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= 25x2 - 15x
+ 15x - 9
Step 3:
25x2 - 9
F O I L method

30. F O I L
F - first terms
O - outer terms
I - inner terms
L - last terms
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31. (5x+3)(5x-3)
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= 25x2 - 15x
+ 15x - 9
Step 3:
25x2 - 9
F O I L method

32. Illustrative Example 1
Factor 25x2 – 9.
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33. = (5x+3)(5x-3)
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25x2 – 9

34. Illustrative Example 2
Factor x2 – 49y4.
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35. x2 – 49y4
= (x)2 – (7y2)2
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36. x2 – 49y4
= (x)2 – (7y2)2
=(x+7y2)(x-7y2)

37. x2 – 49y4
=(x+7y2)(x-7y2)
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38. HOW DO WE FACTOR
DIFFERENCE OF
TWO SQUARES?
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39. Express each term of the
given binomial to a square
of a monomial.
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Step 1
(a)2 - (b)2

40. Write as a product of the
sum and difference of two
terms.
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Step 2
(a + b)(a - b)

41. Check by multiplying
the factors using
FOIL method.
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Step 3

42. 1. 9x2 – 25
2. x2y2 - 100z4
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Factor

43. 1. (3x+5)(3x-5)
2. (xy+10z2)(xy-10z2)
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ANSWERS:

44. Lyn On Me