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合并同类项

hébìng tónglèixiàng
verb phrase★Intermediate💡 combine like terms
technical

To combine terms in an algebraic expression that have the same variable part.

请合并同类项:3x + 5x - 2y + 4y

Combine like terms: 3x + 5x - 2y + 4y

在多项式中合并同类项可以简化计算过程。

Combining like terms in polynomials simplifies the calculation process.

💡

Commonly used in algebra and polynomial simplification.

Collocations

合并同类项combine like terms简化表达式simplify expression多项式运算polynomial operation

Synonyms

简化归类合并

Antonyms

分离拆分

Related Phrases

代数运算phrase
algebraic operation
多项式word
polynomial

💡Pro Tip

Memorization Tip

Break down the phrase into its components: '合并' (combine) + '同类' (like) + '项' (terms). Focus first on identifying like terms before combining them.

⚡Gold Rule

Combining Rule

Only combine terms with identical variable parts. For example, 3x and 5x can be combined (8x), but 3x and 2y cannot.

📖Word Origin

The term combines three Chinese words: '合并' (combine), '同类' (same kind), and '项' (term/item). It directly translates the mathematical operation of merging terms with identical variable components.

📝Usage Notes

This phrase is specific to mathematics education in Chinese-speaking regions. It is not used in everyday language but is fundamental in algebra instruction.

Word Breakdown

合并
to merge or combine
verb
+
同类
of the same kind
adjective phrase
+
项
term (in algebra)
noun
汉英词典

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