Synonyms in Detail: factored and decompose Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

factored

Example

The quadratic equation can be factored into two binomials. [factored: verb]

Example

After factoring out the common term, the equation became much simpler. [factoring: gerund or present participle]

decompose

Example

The bacteria decomposed the organic matter into simpler compounds. [decomposed: verb]

Example

We can decompose this function into its individual parts for easier analysis. [decomposing: gerund or present participle]

Good things to know

Which word is more common?

Factored is more commonly used than decompose in everyday language, especially in the context of mathematics. Decompose is less common and is typically used in scientific contexts.

What’s the difference in the tone of formality between factored and decompose?

Both factored and decompose are formal words that are typically used in academic or technical writing. However, factored may be more commonly used in everyday conversation due to its frequent use in mathematics.

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