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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)
3.11 Factorization: (a+b)2 with Binomial Factors

Example:
Factorize, (x+3y)2+2.(x+3y).(x-y)+(x-y)2.

Solution:
Given that, (x+3y)2+2(x+3y)(x-y)+(x-y)2.
Clearly this is in the form of (a+b)2=a2+2ab+(b)2.
Here a = x+3y and b = x-y
Substitute these values in the formula, we get,
= (x+3y+x-y)2.
= (2x+2y)2.

Directions: Solve the following problems. Also write at least 10 examples of your own.
Q 1: Factorize, (4x+5y)2+2.(4x+5y).(2x-6y)+(2x-6y)2.
(5x+6y)2
(6x-y)2
(6x+y)2
(6x-2y)2

 Q 2: Factorize, (4x+7y)2+2.(4x+7y).(5x-2y)+(5x-2y)2.
(9x-3y)2
(9x+5y)2
(9x-5y)2
(9x+4y)2

Q 3: Factorize, (2x-y)2+2.(2x-y).(x+2y)+(x+2y)2.
(3x-y)2
(5x+4y)2
(3x+2y)2
(3x+y)2

 Q 4: Factorize, (7x-4y)2+2.(7x-4y).(3x+2y)+(3x+2y)2.
(10x+4y)2
(10x-2y)2
(10x-5y)2
(10x+2y)2

Q 5: Factorize, (4x-6y)2+2.(4x-6y).(3x+4y)+(3x+4y)2.
(7x-3y)2
(7x+2y)2
(7x-2y)2
(7x+4y)2

 Q 6: Factorize, (3x+5y)2+2.(3x+5y).(2x-y)+(2x-y)2.
(5x+4y)2
(5x-4y)2
(5x+3y)2
(5x+2y)2

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