-(3x%5E2%2B5x-8).jpeg "(4x^2-x+6)-(3x^2+5x-8)")
Simplifying the Expression: (4x^2 - x + 6) - (3x^2 + 5x - 8)
This article will guide you through the steps to simplify the expression: (4x^2 - x + 6) - (3x^2 + 5x - 8)
Step 1: Distribute the Negative Sign
The expression has a negative sign in front of the second set of parentheses. We need to distribute this negative sign to each term inside the parentheses.
(4x^2 - x + 6) - (3x^2 + 5x - 8) = 4x^2 - x + 6 - 3x^2 - 5x + 8
Step 2: Combine Like Terms
Now, we need to combine the terms with the same variable and exponent.
- x^2 terms: 4x^2 - 3x^2 = x^2
- x terms: -x - 5x = -6x
- Constant terms: 6 + 8 = 14
Step 3: Write the Simplified Expression
Finally, we combine the simplified terms to get the simplified expression:
x^2 - 6x + 14
Conclusion
Therefore, the simplified form of (4x^2 - x + 6) - (3x^2 + 5x - 8) is x^2 - 6x + 14.