(2x^2+5x-7)+(3-4x^2+6x)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

This article will guide you through simplifying the expression (2x^2 + 5x - 7) + (3 - 4x^2 + 6x).

Understanding the Steps

The key to simplifying this expression lies in combining like terms. Like terms are terms that have the same variable and exponent. Here's a breakdown of the steps:

1. Remove the parentheses: Since we are adding the two expressions, the parentheses don't affect the order of operations. We can simply rewrite the expression without them:

   2x^2 + 5x - 7 + 3 - 4x^2 + 6x 
   

2. Identify like terms:

   • x^2 terms: 2x^2 and -4x^2
   • x terms: 5x and 6x
   • Constant terms: -7 and 3

3. Combine like terms:

   • x^2 terms: 2x^2 - 4x^2 = -2x^2
   • x terms: 5x + 6x = 11x
   • Constant terms: -7 + 3 = -4

4. Write the simplified expression: Combining all the simplified terms, we get:

   -2x^2 + 11x - 4
   

Conclusion

Therefore, the simplified form of the expression (2x^2 + 5x - 7) + (3 - 4x^2 + 6x) is -2x^2 + 11x - 4. Remember, always look for like terms and combine them to simplify expressions!