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