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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.20 Find The Factors of Difference of Two Squares - III

Example: Factorise 81 - (x-y)2.
Solution: Given that 81 - (x-y)2
= (9)2 - (x-y)2.
The expression is a difference of two squares.
= [9 + (x-y)] [9 - (x-y)]
Therefore factors of [81 - (x-y)2] = [9 + (x-y)] [9 - (x-y)]

Directions: Find the factors of given expressions and show your work. Also write at least ten examples of your own.
Q 1: (2x+y)2 - 16 = _____?
(2x+y+4)(2x+y-4)
(2x+y+4)(2x+y+4)
(2x-y+4)(2x-y-4)

Q 2: 9a2 - (3a+4b)2 = _____?
-4b(6a+4b)
-4b(6a-4b)
4b(6a+4b)

Q 3: 4a2 - (a+1)2 = _____?
(3a+1)(a+1)
(3a+1)(a-1)
(3a+1)(3a-1)

Q 4: (x+y)2 - 9 = _____?
(x+y-3)(a+y-3)
(x+y+3)(a+y-3)
(x+y+3)(a+y+3)

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