Question

What is the expression in factored form 16x^2-25

Answer 1

(4x-5)(4x+5)

Explanation:

We have given the expression.

16x²-25

We have to find the factors of given expression.

Using difference formula which is:

a²-b² = (a-b)(a+b)

16x²-25 = (4x)²-(5)²

a = 4x and b = 5

Putting values in formula, we have

16x²-25 = (4x-5)(4x+5) which is the answer.

Answer 2

The answer is (4x - 5)(4x + 5)

Explanation:

∵ f(x) = 16x² - 25 ⇒ it is a difference of two squares

∴ It factored into two bracket like each other with different middle sign because there is no middle term

∴ 16x² - 25 = (4x - 5)(4x + 5)

To check:

(4x - 5)(4x + 5) = 16x² + 20x - 20x - 25

= 16x² - 25