Middle/High School Algebra, Geometry, and Statistics (AGS) 3.10 Factorization: (a-b)^{2}
Example:
Factorize, 9a^{2}-24ab+16b^{2}.
Solution:
Given that, 9a^{2}-24ab+16b^{2}.
We can write this as,
(3a)^{2}-2.3a.4b+(4b)^{2}.
This is in the form of (a-b)^{2 }= a^{2}-2ab+b^{2}.
Here a = 3a and b = 4b, substitute these values in the formula, we get,
(3a-4b)^{2}.
Directions: Solve the following problems. Also write at least 10 examples of your own.