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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Middle/High School Algebra, Geometry, and Statistics (AGS)
3.9 Factorization: a2 - b2

Example 1: Factorize, 9a2-16.
Solution: Given that, 9a2-16.
We can write this as,
(3a)2-(4)2.
This is in the form of a2-b2 = (a+b)(a-b)
Here a = 3a and b = 4, substitute these values in the formula, we get,
= (3a+4)(3a-4).

Example 2:Factorize, 16x2-9y2.
Solution: Given that, 16x2-9y2.
We can write this as,
(4x)2-(3y)2.
This is in the form of a2-b2 = (a+b)(a-b)
Here a = 4x and b = 3y, substitute these values in the formula, we get,
= (4x+3y)(4x-3y).


Directions: Solve the following problems. Also write at least 10 examples of your own.
Q 1: Factorize, 9x2-4y2.
None of these
(3x+2y)(3x+2y)
(3x-2y)(3x-2y)
(3x+2y)(3x-2y)

Q 2: Factorize, 9x2-49y2.
None of these
(3x+7y)(3x+7y)
(3x-7y)(3x-7y)
(3x+7y)(3x-7y)

Q 3: Factorize, x2-9y2.
(x+3y)(x+3y)
(x-3y)(x-3y)
None of these
(x+3y)(x-3y)

Q 4: Factorize, 49x2-16y2.
None of these
(7x+4y)(7x-4y)
(7x+4y)(7x+4y)
(7x-4y)(7x-4y)

Q 5: Factorize, 4x2-16y2.
None of these
(2x+4y)(2x+4y)
(2x+4y)(2x-4y)
(2x-4y)(2x-4y)

Q 6: Factorize, 16a2-9b2.
(4a+3b)(4a-3b)
None of these
(4a+3b)(4a+3b)
(4a-3b)(4a-3b)

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