Answer:
Option d- The required factored form is \(16x^2-25=(4x+5)(4x-5)\)
Step-by-step explanation:
Given : Expression \(16x^2-25\)
To find : What is the expression in factored form?
Solution :
Expression \(16x^2-25\)
We can re-write the given expression in square form i.e, \((4x)^2-(5)\)
Now, Applying the identity \(a^2-b^2=(a+b)(a-b)\)
Where, a=4x and b=5
\((4x)^2-(5)=(4x+5)(4x-5)\)
Therefore, The required factored form is \(16x^2-25=(4x+5)(4x-5)\)
So,Option d is correct.
