Answer:
Option (3) is correct.
The factored form of given equation \(25x^2-36\) is \((5x+6)(5x-6)\)
Step-by-step explanation:
Given : equation \(25x^2-36\)
We have to factorize the given equation completely.
Consider the given equation \(25x^2-36\)
Using algebraic identity \(a^2-b^2=(a+b)(a-b)\)
We have ,
\(25x^2-36\) can be written as \((5x)^2-(6)^2\)
Applying above idenity, we have,
\((5x)^2-(6)^2=(5x+6)(5x-6)\)
Thus, the factored form of given equation \(25x^2-36\) is \((5x+6)(5x-6)\)
