Example:
Factorize, 8a^{3}60a^{2}+150a125.
Solution:
Given that, 8a^{3}60a^{2}+150a125.
We can write this as,
(2a)^{3}3.(2a)^{2}.5+3.2a.(3)^{2}(5)^{3}.
This is the form of a^{3}3.a^{2}.b+3.a.b^{2}b^{3} =
(ab)^{3}.
Here a = 2a and b = 5, substitute these values in the equation we get,
= (2a5)^{3}.
Directions: Solve the following problems. Also write at least ten examples of your own.
