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

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

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, (2x+3y)2+2.(2x+3y).(x+y)+(x+y)2.

Question 2: This question is available to subscribers only!

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