Question

Factor the binomial 49x2-4

Answer 1

Rewrite 49x249x2 as (7x)27x2.(7x)2−47x2-4Rewrite 4 as 2^2.(7x)^2−2^2Since both terms are perfect squares, factor using the difference of squares formula,
a^2−b^2=(a+b)(a−b) where a=7x and b=2.(7x+2)(7x−2)