Answer:
Option (d) is correct.
The factored form of the given polynomial \(36x^2-25\) is \((6x+5)(6x-5)\)
Step-by-step explanation:
Given: Polynomial \(36x^2-25\)
We have to factorize the given polynomial \(36x^2-25\) completely and choose the correct option from the given options.
Consider the given polynomial \(36x^2-25\)
We can rewrite the given polynomial a square of two terms,
\(36x^2-25=(6x)^2-5^2\)
Now, applying algebraic identity
\(a^2-b^2=(a+b)(a-b)\)
Thus, \((6x)^2-5^2=(6x+5)(6x-5)\)
Thus, The factored form of the given polynomial \(36x^2-25\) is \((6x+5)(6x-5)\)
