Answer:
37
Step-by-step explanation:
if lucy was half lisa's age at 6, that means she was 3. so there's a 3 year difference between the two sisters, so now if Lisa is 40, that makes Lucy 37.
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,

Which can be rewritten as

The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;


The quadratic formula is given by;

We now substitute all the values in to the formula;

We simplify to obtain;


We now split the plus or minus sign to obtain;

This implies that;

Or

This will evaluate to;

Hence, the positive solution rounded to the nearest hundredth is

Multiply then simplify, that's doing the same work twice...anyway
x^3+x^2y+xy^2-x^2y-xy^2-y^3
x^3-y^3 which if factored is:
(x-y)(x^2+xy+y^2) which is what you started with :)