Question

How do you factor `16x^2-9=0`?

Answer 1

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

the expression given is:
`16 x^2 - 9 = 0`
`(4x)^2 - 3^2 = 0`

note : `a = 4x and b =3`

the expression now becomes:
`(4x)^2 - 3^2 = (4x +3) (4x-3)` , this is the factorised form.