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How Do You Combine Like Terms to Simplify Complex Algebraic Expressions?

Combining like terms might seem tricky at first, but with a little practice, it becomes really easy. Let’s break it down step by step.

  1. Find Like Terms: Like terms are those that have the same variable and power. For example, 3x23x^2 and 5x25x^2 are like terms because they both have x2x^2. But 4x4x and 3y3y are not like terms because they have different variables.

  2. Group the Terms: After finding like terms, put them together. For example, in the expression 5x+3x2+2x4+x25x + 3x^2 + 2x - 4 + x^2, you would group 5x5x with 2x2x, and 3x23x^2 with x2x^2.

  3. Combine the Numbers: Now, add or subtract the numbers (called coefficients) in front of your like terms. So, for 5x+2x5x + 2x, you get 7x7x, and for 3x2+x23x^2 + x^2, you get 4x24x^2.

  4. Write the Final Answer: Finally, put everything together. The simpler version of our example is 4x2+7x44x^2 + 7x - 4.

Just remember, it’s all about spotting the similarities and doing the math! Keep practicing, and soon it will feel easy!

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How Do You Combine Like Terms to Simplify Complex Algebraic Expressions?

Combining like terms might seem tricky at first, but with a little practice, it becomes really easy. Let’s break it down step by step.

  1. Find Like Terms: Like terms are those that have the same variable and power. For example, 3x23x^2 and 5x25x^2 are like terms because they both have x2x^2. But 4x4x and 3y3y are not like terms because they have different variables.

  2. Group the Terms: After finding like terms, put them together. For example, in the expression 5x+3x2+2x4+x25x + 3x^2 + 2x - 4 + x^2, you would group 5x5x with 2x2x, and 3x23x^2 with x2x^2.

  3. Combine the Numbers: Now, add or subtract the numbers (called coefficients) in front of your like terms. So, for 5x+2x5x + 2x, you get 7x7x, and for 3x2+x23x^2 + x^2, you get 4x24x^2.

  4. Write the Final Answer: Finally, put everything together. The simpler version of our example is 4x2+7x44x^2 + 7x - 4.

Just remember, it’s all about spotting the similarities and doing the math! Keep practicing, and soon it will feel easy!

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