Question

which of the following pairs of terms is a pair of like terms
1)7xy,14yx
2)m²p,mp²
3)6xz,12x²z²
4)-13x,-13y​

Answer 1

$\huge\underline\textsf {Question:- } \:$

Which of the following pairs of terms is a pair of like terms?

☞ 7xy,14yx

☞ m²p,mp²

☞ 6xz,12x²z²

☞ 13x,-13y

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$\huge \underline\textsf{Answer:- }$

Which of the following pairs of terms is a pair of like terms?

⠀ 7xy, 14yx

☞ Pair: 7xy, 14 yx

  ⠀Factors: 7, x, y  ⠀⠀14, y, x

↪ Like Terms⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

  ⠀ m²p, mp²

☞ Pair: m²p, mp²

  ⠀Factors: m², p  ⠀⠀m, p²

↪ Unlike Terms ⠀

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  ⠀ 6xz, 12x²z²

☞ Pair: 6xz, 12x²z²

  ⠀Factors: 6, x, z⠀⠀⠀ 12x², z²⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

↪ Unlike Terms

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⠀⠀ 13x, -13y

☞ Pair: 13x, -13y

  ⠀Factors: 13, x   ⠀⠀⠀-13, y

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More About:

Like and Unlike Terms.

Like Terms:

☘ Terms have same variable factors.

☘ May differ in the numeral coefficients.

⚡In the expression: 3x - 4x + 5yx + 7, the factors of 3xy are 3, x and y. The factors of 5xy are 5, y and x. This their variable factors are same. Therefore, 3xy and 5xy are like terms.

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Unlike Terms:

☘ Terms do not have same variable factors.⠀⠀⠀⠀⠀⠀

⚡In the expression: 3xy - 4x+ 5yx + 7, 3xy and - 4x have different variables. Hence, 3xy and - 4x are unlike terms. Similarly, 5yx and 7 are also unlike terms.

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Answer 2

Answer:

7xy,14xy

Step-by-step explanation:

Correct Answer