Question

Is it possible to factor `y=4x^2-49`? If so, what are the factors?

Answer 1

`color(blue)((2x-7) , (2x+7)` are the factos of the expression.

Explanation:

`y=4x^2-49`

The expression can be re written as:
`y=(2x)^2-7^2`, this is of the below format:

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

So,
`y=(2x)^2-7^2 = color(blue)((2x-7)(2x+7)`

`color(blue)((2x-7)(2x+7)` is the factorised form of the expression.