Which expression is equivalent to the given one?…

Mathematics Questions

Which expression is equivalent to the given one?

Short Answer

The expression is simplified by first combining like terms, resulting in 5x¬¨‚⧠for the x¬¨‚⧠terms, 12x for the x terms, and -7 for the constant terms. Finally, presenting the result yields the simplified expression: 5x¬¨‚⧠+ 12x – 7.

Step-by-Step Solution

Step 1: Identify and Combine Like Terms

To solve the expression, first, identify the like terms. Like terms are those that have the same variable raised to the same power. In the expression -2x², 7x², and 4x, we focus on grouping them together:

  • -2x¬¨‚⧠+ 7x¬¨‚⧠= 5x¬¨‚â§
  • 8x + 4x = 12x
  • -9 + 2 = -7

Step 2: Simplify the Expression

Once you have identified and combined the like terms, now you’ll simplify the entire expression. This means adding all the results from the previous step together:

  • 5x¬¨‚⧠(from the x¬¨‚⧠terms)
  • + 12x (from the x terms)
  • – 7 (from the constant terms)

Step 3: Present the Final Result

After combining and simplifying, you now present the final result clearly. As per the calculations performed, the final simplification leads to:

  • 5x¬¨‚⧠+ 12x – 7

This indicates that the answer is A, showcasing the final simplified form of the expression! Hope this helps!

Related Concepts

Like Terms

Terms in an algebraic expression that have the same variable raised to the same power, allowing them to be combined through addition or subtraction.

Simplify

To reduce an expression to its most concise form by combining like terms and performing any arithmetic operations.

Final Result

The culmination of a mathematical process, typically presented in simplest form, which clearly communicates the outcome of the calculations performed.

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