Middle/High School Algebra, Geometry, and Statistics (AGS) 3.5 Factorization: (a-b)3
Example:
Factorize, 8a3-60a2+150a-125.
Solution:
Given that, 8a3-60a2+150a-125.
We can write this as,
(2a)3-3.(2a)2.5+3.2a.(3)2-(5)3.
This is the form of a3-3.a2.b+3.a.b2-b3 =
(a-b)3.
Here a = 2a and b = 5, substitute these values in the equation we get,
= (2a-5)3.
Directions: Solve the following problems. Also write at least ten examples of your own.