Create equivalent expressions by fa... Factor 10 h+30+50 j to identify the equivalent expressions. Choose 2 answers: A 5(2h+30+50 j) B 10(h+3+5j) c 2(5h+15+25 j) D 15(10 h+2+50 j)

Question

Create equivalent expressions by fa... Factor  10 h+30+50 j to identify the equivalent expressions. Choose 2 answers: A  5(2h+30+50 j) B  10(h+3+5j) c  2(5h+15+25 j) D  15(10 h+2+50 j)

Bytelearn · Accepted Answer

Identify Common Factor: Step Title: Identify the Common Factor Concise Step Description: Identify the greatest common factor (GCF) that can be factored out from all terms in the expression 10h + 30 + 50j. Step Calculation: The GCF of 10, 30, and 50 is 10. Step Output: GCF: 10Factor Out GCF: Step Title: Factor Out the GCF Concise Step Description: Factor out the GCF from each term in the expression to create an equivalent expression. Step Calculation: Factoring out the GCF, 10, we get 10(h + 3 + 5j). Step Output: Factored Expression: 10(h + 3 + 5j)Check Answer Choices: Step Title: Check the Answer Choices Concise Step Description: Compare the factored expression with the answer choices to identify the equivalent expressions. Step Calculation: The factored expression 10(h + 3 + 5j) matches with choice B. Now, we need to check if any other choices are equivalent. Step Output: Matching Choice: BVerify Other Choices: Step Title: Verify Other Choices Concise Step Description: Verify if any other choices are equivalent to the factored expression by simplifying them. Step Calculation: Choice A simplifies to 5(2h + 30 + 50j) which is not equivalent because it would result in 10h + 150 + 250j when distributed. Choice C simplifies to 2(5h + 15 + 25j) which is not equivalent because it would result in 10h + 30 + 50j when distributed, which is the original expression. Choice D simplifies to 15(10h + 2 + 50j) which is not equivalent because it would result in 150h + 30 + 750j when distributed. Step Output: Equivalent Choices: B and C

Create equivalent expressions by factoring $10h+30+50j$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ (A) $5(2h+6+10j)$ $\newline$ (B) $10(h+3+5j)$ $\newline$ (C) $2(5h+15+25j)$ $\newline$ (D) $15(\frac{2}{3}h+2+\frac{10}{3}j)$

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