can 4x^2-3y^2 factorize? pls help im stuck

Question

can  4x^2-3y^2  factorize?  pls help im stuck

anonymous · Answer

It can, but you have root 3 y in there.

anonymous · Answer

? sorry I don't understand what do you mena by root 3y

unklerhaukus · Answer

$$a^2-b^2=(a+b)(a-b)$$

$$4x^2-3y^2=(2x)^2-(\sqrt3 y)^2$$

anonymous · Answer

:( i'm not getting it, sigh so frustrating.

christos · Answer

It is basically a simple "identity" 

generally the rule you are using here to find this is a^2 - b^2 = (a - b) (b - a)

Do you get this so far?

anonymous · Answer

@Christos yeah i learned that bit so far but I cannot find the right combination. we were taught that to factorize something it looks like (a+b)(a-b) but i don't get how it becomes (2x)^2 -  (sqroot of 3y)^2 ?

anonymous · Answer

nvm i get how it becomes that... but, that form wasn't taught to us. we were always taught the (a+b)(a-b) form which we then use to divide......   does (2x)^2 -  (sqroot3)^2   change into a (a+b)(a-b) form?

anonymous · Answer

You've formatted it as a^2-b^2, so yes.

anonymous · Answer

ok so basically it's just the sq root of first term - sq root of seond term x sq root of first term + sq root of second term?

unklerhaukus · Answer

yeah