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)

The correct answer is first option

(7x + 4)(7x − 4)

Step-by-step 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

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step-by-step explanation:

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step-by-step explanation: