Question

Factor the expression. 49x^2-16

A. (7x + 4)(7x − 4)
B. (7x − 4)(7x − 4)
C. (4x + 7)(4x − 7)
D. (4x − 7)(4x − 7)

Answer 1

The answer is :

A. (7x + 4)(7x - 4)

Answer 2

The correct answer is first option

(7x + 4)(7x − 4)

Explanation:

Points to remember

Identities

(a + b)(a - b) = a² - b²

It is given an expression,

49x² - 16

To factorize the expression 49x² - 16

We know that 7² = 49 and 4² = 16

Therefore we can write the given expression as,

49x² - 16 = (7x)² - 4²

It is in the form of the above identity,

(7x)² - 4² = (7x + 4)(7x - 4)

The correct answer is first option