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Factor 18 p-36 to identify the equivalent expressions. Choose 2 answers: (A) 3(9p-12) (B) 9(2p-4p) (C) 2(9p-18) (D) 18(p-2)

Factor 18p−3618p-36 to identify the equivalent expressions.\newlineChoose 22 answers:\newline(A) 3(9p−12)3(9p-12)\newline(B) 9(2p−4p)9(2p-4p)\newline(C) 2(9p−18)2(9p-18)\newline(D) 18(p−2)18(p-2)

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Full solution

Q. Factor 18p−3618p-36 to identify the equivalent expressions.\newlineChoose 22 answers:\newline(A) 3(9p−12)3(9p-12)\newline(B) 9(2p−4p)9(2p-4p)\newline(C) 2(9p−18)2(9p-18)\newline(D) 18(p−2)18(p-2)
  1. Check Options: Let's check the options given to see which ones are equivalent to 18(p−2)18(p - 2).\newlineOption A: 3(9p−12)=27p−363(9p - 12) = 27p - 36, which is not equivalent to 18p−3618p - 36.
  2. Evaluate Option A: Option B: 9(2p−4p)=18p−36p9(2p - 4p) = 18p - 36p, which is incorrect because it simplifies to −18p-18p, not 18p−3618p - 36.
  3. Evaluate Option B: Option C: 2(9p−18)=18p−362(9p - 18) = 18p - 36, which is equivalent to 18p−3618p - 36.
  4. Evaluate Option C: Option D: 18(p−2)=18p−3618(p - 2) = 18p - 36, which is equivalent to 18p−3618p - 36.

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