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Date:___________________
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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.

Name: ___________________

Date:___________________

Middle/High School Algebra, Geometry, and Statistics (AGS)
3.11 Factorization: (a+b)2 with Binomial Factors

Q 1: Factorize, (4x-6y)2+2.(4x-6y).(3x+4y)+(3x+4y)2.
(7x-3y)2
(7x-2y)2
(7x+4y)2
(7x+2y)2

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