Question

Factor completely 49x2 − 81. (1 point)

Answer 1

For this case we have a difference of perfect squares of the form:

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

Applying to the given exercise we have to:

`a = 7x\\b = 9`

So, we have:

`49x ^ 2-81 =\\(7x) ^ 2- (9) ^ 2 =\\(7x + 9) (7x-9)`

Thus, the factorization of
`49x ^ 2-81` is given by:

`(7x + 9) (7x-9)`

Answer:

`(7x + 9) (7x-9)`

Answer 2

49x2 − 81

(7x-9) (7x+9)