What is the opposite of distributing?

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Prepare for the CSET Multiple Subjects Subtest 2. Dive into math and science with flashcards and multiple choice questions, each question offering hints and explanations. Gear up for your success!

Multiple Choice

What is the opposite of distributing?

Explanation:
Distributing is applying a factor outside parentheses to every term inside, using the distributive property. The operation that goes in reverse is factoring, where you pull out a common factor from several terms to rewrite the expression as a single product. For example, 12x + 15 can be rewritten as 3(4x + 5), showing how a sum with a common factor comes from distributing 3 across the terms inside. The other processes—adding, subtracting, or multiplying—don’t reverse that step. Adding or subtracting changes terms; multiplying scales terms, but none of these reverse the idea of turning a sum back into a product by factoring out a common factor.

Distributing is applying a factor outside parentheses to every term inside, using the distributive property. The operation that goes in reverse is factoring, where you pull out a common factor from several terms to rewrite the expression as a single product. For example, 12x + 15 can be rewritten as 3(4x + 5), showing how a sum with a common factor comes from distributing 3 across the terms inside. The other processes—adding, subtracting, or multiplying—don’t reverse that step. Adding or subtracting changes terms; multiplying scales terms, but none of these reverse the idea of turning a sum back into a product by factoring out a common factor.

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