Example:
Factorize, 4a^{2}+4ab+b^{2}c^{2}.
Solution:
Given that, 4a^{2}+4ab+b^{2}c^{2}.
We can write this as,
[(2a)^{2}+2.2a.b+(b)^{2}]c^{2}
This is in the form of (a+b)^{2 }= a^{2}+2ab+b^{2}.
Here a = 2a and b = b, substitute these values in the formula, we get,
= (2a+b)^{2}c^{2}
This is in the form of a^{2}b^{2} = (a+b)(ab)
Here a = 2a+b and b = c, Substitute these values in the formula, we get,
= (2a+b+c)(2a+bc)
Directions: Solve the following problems. Also write at least 10 examples of your own.
