Question

How do you factor `16-4a^2`?

Answer 1

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

expression given is:
`16 - 4a^2`
`= 4^2 - (2a)^2`
here , `a = 4 and b = 2a`

rewriting the expression:
`4^2 - (2a)^2 = (4+2a)(4-2a)` , this is the factorised form.