Question

Medals!
a^2 + 12ab + 27b^2

Answer 1

What are you wanting to do with it?

Answer 2

Perhaps it's an alchemist's way of saying what proportion of metals are involved in an alloy, I can only speculate upon this vague description, for a philosopher I am not.

Answer 3

I want to find the answer

Answer 4

It says factor it, but I have trouble doing these

Answer 5

do you know how to solve this?

Answer 6

Yeah so the number in the middle is two numbers added together and the number on the right is two numbers multiplied.

(a+xb)(a+yb)=a^2+(x+y)ab+(xy)b^2

So now you can see x+y=12 and xy=27. You have two equations and two unknowns, you can solve this by plugging one in the other.

Answer 7

ok, I'm a bit lost, are you sure this is the right way, this method I haven't seen before, I've only seen the Quadratic formula?