Question

Factor the expression 25x^2-1

Answer 1

(5 x - 1) (5 x + 1)

Step-by-step explanation:

If we have an expression of the form

`((ax)^2-1)^{}_{}`

then it can be factored out as

`((ax)^2-1)^{}_{}=(ax-1)(ax+1)`

Now in our case we have

`25x^2-1`

which can be rewritten as

`(5x)^2-1`
`=(5x-1)(5x+1)`

which is our answer!