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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)
3.8 Factorization: (2a+b)2 - c2

Example:
Factorize, 4a2+4ab+b2-c2.

Solution:
Given that, 4a2+4ab+b2-c2.
We can write this as,
[(2a)2+2.2a.b+(b)2]-c2
This is in the form of (a+b)2 = a2+2ab+b2.
Here a = 2a and b = b, substitute these values in the formula, we get,
= (2a+b)2-c2
This is in the form of a2-b2 = (a+b)(a-b)
Here a = 2a+b and b = c, Substitute these values in the formula, we get,
= (2a+b+c)(2a+b-c)


Directions: Solve the following problems. Also write at least 10 examples of your own.
Q 1: Factorize, 9x2+12x+4-36y2.
(3x+2+6y)(3x+2-6y)
(3x-2+6y)(3x+2-6y)
None of these
(3x+2+6y)(3x-2-6y)

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

Q 3: Factorize, 9x2y2-6xyz+z2-4.
(3xy-z+2)(3xy-z-2)
(3xy+z+2)(3xy-z-2)
(3xy-z+2)(3xy-z+2)
None of these

Q 4: Factorize, x2+6x+9-16y2.
(x+3+4y)(x+3+4y)
None of these
(x-3+4y)(x+3-4y)
(x+3+4y)(x+3-4y)

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Question 6: This question is available to subscribers only!


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