(4x^2-6x+7)+(-19x^2-15x-18)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions

In mathematics, simplifying expressions is a fundamental skill. This involves combining like terms and reducing the expression to its simplest form. Let's explore how to simplify the following expression:

(4x² - 6x + 7) + (-19x² - 15x - 18)

Step 1: Remove the Parentheses

Since we are adding the two expressions, the parentheses do not affect the signs of the terms inside. We can simply remove them:

4x² - 6x + 7 - 19x² - 15x - 18

Step 2: Combine Like Terms

Identify terms with the same variable and exponent.

• x² terms: 4x² - 19x² = -15x²
• x terms: -6x - 15x = -21x
• Constant terms: 7 - 18 = -11

Step 3: Write the Simplified Expression

Now, combine the simplified terms:

-15x² - 21x - 11

Therefore, the simplified form of the expression (4x² - 6x + 7) + (-19x² - 15x - 18) is -15x² - 21x - 11.