Question

How do you factor the expression `4x^2 - 49`?

Answer 1

(2x - 7 )(2x + 7 )

Explanation:

`(a^2 - b^2 ) = (a - b )(a + b )`

is called a difference of 2 squares as both values in the expression are perfect squares. It is factored as shown.

here a = 2x and b = 7

`rArr 4x^2 - 49 = (2x - 7 )(2x + 7 )`