how do i simplify
[(x^3/y^3) -1]/[(x^2+y^2)+(x/y)+1]
Recognize that (x/y)^3 - 1 =
[(x/y) -1]*[(x/y)^2 +(x/y) +1]
You could simplify it a lot if your "+" between x^2 and y^2 were a "/" division sign. Unless that x^2 + y^2 is really x^2/y^2, there is no simplification.
Check to see if you made a typing error with the + sign.
[(x^3/y^3) -1]/[(x^2/y^2)+(x/y)+1] is right yes please help
To simplify the given expression, we can follow these steps:
Step 1: Simplify the numerator:
In the numerator, we have (x^3/y^3) - 1. We can combine the two terms over the common denominator of y^3. So, we have [(x^3 - y^3) / y^3].
Step 2: Simplify the denominator:
In the denominator, we have (x^2 + y^2) + (x/y) + 1. Since there are no like terms to combine, we leave the denominator as it is.
Step 3: Combine the numerator and the denominator:
Now, we can combine the simplified numerator and the denominator as follows:
[(x^3 - y^3) / y^3] / [(x^2 + y^2) + (x/y) + 1].
Therefore, the simplified expression is [(x^3 - y^3) / y^3] / [(x^2 + y^2) + (x/y) + 1].