Question

What is the expression in factored form? 16x2 - 25

a. (4x 5)(-4x - 5)
b. (-4x 5)(4x - 5)
c. (4x - 5)2
d. (4x 5)(4x - 5)

Answer 1

16x^2 - 25
(4x - 5)(4x + 5)

Answer 2

Option d- The required factored form is
`16x^2-25=(4x+5)(4x-5)`

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.