(4x+8x^2-8)+(x^2+7-4x)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions

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

(4x + 8x² - 8) + (x² + 7 - 4x)

Step 1: Identify Like Terms

Like terms are terms that have the same variable and exponent. In our expression, we have:

• x² terms: 8x² and x²
• x terms: 4x and -4x
• Constant terms: -8 and 7

Step 2: Combine Like Terms

We can now combine the like terms by adding or subtracting their coefficients:

• x² terms: 8x² + x² = 9x²
• x terms: 4x - 4x = 0x (which simplifies to 0)
• Constant terms: -8 + 7 = -1

Step 3: Write the Simplified Expression

Putting it all together, the simplified form of the expression is:

9x² - 1

Therefore, the simplified form of (4x + 8x² - 8) + (x² + 7 - 4x) is 9x² - 1.