How do you factor 49x^2 - 121y^2?

1 Answer
May 4, 2015

49x^2 - 121y^2 can be written as (7x)^2 - (11y)^2

this is of the form:

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

here: a = 7x and b = 11y

so ,

(7x)^2 - (11y)^2= (7x+11y) (7x- 11y)

the factorized form of 49x^2 - 121y^2 is:

(7x+11y) (7x- 11y)