-(-6x%5E2-7x%5E3y%5E2-4x)-(10x%2B9x%5E2).jpeg "(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)")
Simplifying the Expression: (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)
This expression involves simplifying a combination of polynomials. To do this, we will follow the order of operations and combine like terms.
Step 1: Distribute the negative signs
The expression can be rewritten as:
4x^2 + 7x^3y^2 + 6x^2 + 7x^3y^2 + 4x - 10x - 9x^2
Step 2: Combine like terms
Identify terms with the same variables and exponents. This will help us combine them.
- x^3y^2 terms: 7x^3y^2 + 7x^3y^2 = 14x^3y^2
- x^2 terms: 4x^2 + 6x^2 - 9x^2 = x^2
- x terms: 4x - 10x = -6x
Step 3: Final Simplified Expression
Combining the simplified terms, the final expression is:
14x^3y^2 + x^2 - 6x
Therefore, the simplified form of the expression (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2) is 14x^3y^2 + x^2 - 6x.