Algebraic Expressions

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Step 1: Separate the parts by + or -. Step 2: The terms are 5x^3, -8xy, and 7y^2. Step 3: Count them. Answer: 3 terms.

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Step 1: Count the terms. The terms are 8 and x. Step 2: There are 2 terms. Answer: Binomial.

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Step 1: Count the terms. The terms are 3, x, and y. Step 2: There are 3 terms only. Answer: Trinomial.

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Step 1: Count the terms. The terms are x^2 and -5x. Step 2: There are 2 or more terms. Answer: Multinomial.

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Step 1: 2 + x is a sum of two unlike terms. Step 2: 2x means 2 multiplied by x. Step 3: Unlike terms cannot be combined into one term by addition. Answer: 2 + x ≠ 2x.

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Step 1: The terms are like terms because the literal factor is x in both. Step 2: Add the coefficients: 3 + 2 = 5. Step 3: Keep the common literal factor x. Answer: 5x.

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Step 1: The terms are like terms because the literal factor is xy in both. Step 2: Subtract the coefficients: 8 - 5 = 3. Step 3: Keep the common literal factor xy. Answer: 3xy.

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Step 1: All terms are like terms with common literal factor xy^2. Step 2: Add the coefficients: 9 - 15 + 11 = 5. Step 3: Keep the common literal factor xy^2. Answer: 5xy^2.