Question

To factor 9x^2-4 you can first rewrite the expression as

Answer 1

`(3x)^2 - 2^2`

Explanation:

The given expression is
`9x^2 - 4`

We can write
`9x^2 = 3*3*x^2 = 3^2.y^2 = (3y)^2` and 4 can be written as square of 2. 4 =
`2^(2)`

Therefore, we can write
`9x^2 - 4 = (3x)^2 - 2^2`

Now we can factor it out.

We are asked to rewrite the expression.

Therefore, the answer is
`(3x)^2 - 2^2`

Let me factor this expression for your reference.

`(3x)^2 - 2^2 = (3x -2)(3x +2)`