(4x^2-x+6)-(3x^2+5x-8)

2 min read Jun 16, 2024

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.