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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)

Factor 10h+30+50j 10 h+30+50 j to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 5(2h+30+50j) 5(2 h+30+50 j) \newlineB 10(h+3+5j) 10(h+3+5 j) \newlinec 2(5h+15+25j) 2(5 h+15+25 j) \newlineD 15(10h+2+50j) 15(10 h+2+50 j)

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Full solution

Q. Factor 10h+30+50j 10 h+30+50 j to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 5(2h+30+50j) 5(2 h+30+50 j) \newlineB 10(h+3+5j) 10(h+3+5 j) \newlinec 2(5h+15+25j) 2(5 h+15+25 j) \newlineD 15(10h+2+50j) 15(10 h+2+50 j)
  1. Identify Common Factor: Identify the common factor in all terms.\newlineLooking at the terms 10h10h, 3030, and 50j50j, we can see that the number 1010 is a common factor.
  2. Factor Out Common Factor: Factor out the common factor from each term.\newlineWe can factor out the number 1010 from each term to get:\newline10(h+3+5j)10(h + 3 + 5j)
  3. Check Answer Choices: Check the answer choices to see which ones match the factored expression.\newlineComparing the factored expression 10(h+3+5j)10(h + 3 + 5j) with the answer choices, we find that:\newlineA. 5(2h+30+50j)5(2h + 30 + 50j) is not correct because it does not have the common factor 1010 factored out correctly.\newlineB. 10(h+3+5j)10(h + 3 + 5j) is correct because it matches our factored expression.\newlineC. 2(5h+15+25j)2(5h + 15 + 25j) is not correct because it factors out 22 instead of 1010.\newlineD. 15(10h+2+50j)15(10h + 2 + 50j) is not correct because it factors out 1515, which is not a common factor of all terms.

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