Frogeyedpeas said:A quick question... what is the resultant expression if you multiply the cubic formula by 3a, add +b and then cube the entire thing?
Much appreciated
berkeman said:Pi.
Cool problem. Thanks.
When we cube a number or expression, we are multiplying it by itself three times. In this case, we would be cubing the result of adding 3a and b together.
To add 3a and b, we simply combine the two terms. Since they have different variables (a and b), we cannot simplify any further.
No, this expression cannot be simplified any further. We have already added the terms and cubed the result, leaving us with a final expression of (3a + b)^3.
Yes, there is a specific order for performing these operations. We must first add 3a and b together, and then cube the result. If we were to cube 3a and b separately, we would get a different result.
Sure. Let's say we have the expression 3a + b = 5. We would first add 3a and b together, giving us 3a + b = 5. Then, we cube the result, giving us (3a + b)^3 = 125. So, the final expression is (3a + b)^3 = 125.