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