X^3+4x^2a-6xa^2+7a^3÷3x-a
To simplify the expression X^3 + 4x^2a - 6xa^2 + 7a^3 ÷ 3x - a, we can follow these steps:
Step 1: Combine like terms.
The given expression is a sum of several terms involving different powers of X and a. To simplify, we combine the terms that have the same variables and exponents.
X^3 + 4x^2a - 6xa^2 + 7a^3 is the numerator, and we have 3x - a as the denominator.
Step 2: Factor out common terms.
In the numerator, we can factor out an 'a' since it is the common factor in the first three terms:
a(X^3 + 4x^2 - 6xa) + 7a^3.
Step 3: Divide each term by the denominator.
Now we can divide each term by the denominator.
a(X^3 + 4x^2 - 6xa)/ (3x - a) + 7a^3 / (3x - a).
Thus, the simplified expression is a(X^3 + 4x^2 - 6xa)/ (3x - a) + 7a^3 / (3x - a).