We need to set up a system, rather than a single equation, because there are two variables involved.
The first equation represents the fact that the two numbers are in a 3:2 ratio:
The second equation represents the fact that their sum is 35:
So, we have the following system:
Using the expression for x in the first equation, the second one becomes
which implies
Answer:
x² -2x +4
Step-by-step explanation:
You recognize the dividend as the sum of two cubes. The factorization of that is ...
... a³ + b³ = (a + b)(a² -ab +b²)
In your problem, you have a=x, b =2, so the factorization is ...
... (x³ +8) = (x +2)(x² -2x +4)
When this is divided by (x +2), the result is (x² -2x +4).
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You can also use long division or synthetic division to get the same result.
