simplify 6x^4-2xy^4 divided by 2xy
3x^3/y - y^3
To simplify the expression (6x^4 - 2xy^4) divided by 2xy, we can break it down step by step:
Step 1: Divide each term in the numerator by the denominator.
(6x^4 / 2xy) - (2xy^4 / 2xy)
Step 2: Simplify each term separately.
For the first term (6x^4 / 2xy):
- Divide the coefficients: 6 / 2 = 3
- Divide the variables with the same base but different exponents: x^4 / x = x^(4-1) = x^3
The first term becomes 3x^3.
For the second term (2xy^4 / 2xy):
- Divide the coefficients: 2 / 2 = 1
- Divide the variables with the same base but different exponents: y^4 / y = y^(4-1) = y^3
The second term becomes y^3.
Step 3: Write the simplified terms together.
The simplified expression is 3x^3 - y^3.