Question

Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x − 3) (7x − 3)(x − 3)

Answer 1

A

Explanation:

We take a look at this expression:
`49x^2-9` and notice that both terms are square numbers.
`49x^2=(7x)^2` and
`9=3^2`.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares
`a^2-b^2`, it can always be factored into
`(a+b)(a-b)`.

Here, we can apply that. In this case, a = 7x and b = 3. So:

`49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)`

Thus, the answer is A.

Hope this helps!

Answer 2

the answer to this is

(7x-3)(7x+3)

49x^2-21x+21x-9

49x^2-9

Explanation: