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(3x^2-4x+7)-2(1-2x+x^2)

less than a minute read Jun 16, 2024
(3x^2-4x+7)-2(1-2x+x^2)

Simplifying the Expression: (3x^2 - 4x + 7) - 2(1 - 2x + x^2)

This article will guide you through simplifying the given algebraic expression: (3x^2 - 4x + 7) - 2(1 - 2x + x^2).

Step 1: Distribute the -2

First, we need to distribute the -2 to the terms inside the parentheses:

(3x^2 - 4x + 7) -2(1 - 2x + x^2) = 3x^2 - 4x + 7 -2 + 4x - 2x^2

Step 2: Combine Like Terms

Now, we combine the terms with the same variables and exponents:

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

Final Result

Therefore, the simplified expression is x^2 + 5.

Key Points

  • Distribution: Remember to multiply the constant outside the parentheses by each term inside.
  • Combining Like Terms: Only terms with the same variables and exponents can be combined.
  • Order of Operations: Follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.

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