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91tm235tm491tm^{2}-35tm^{4}\newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 5tm2(18tmm27tmm4)5tm^{2}(18tmm^{2}-7tmm^{4})\newline(B) (187m2)5tm2(18-7m^{2})5tm^{2}\newline(C) 7tm2(13tm25tm4)7tm^{2}(13tm^{2}-5tm^{4})\newline(D) (135m2)7tm2(13-5m^{2})7tm^{2}

Full solution

Q. 91tm235tm491tm^{2}-35tm^{4}\newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 5tm2(18tmm27tmm4)5tm^{2}(18tmm^{2}-7tmm^{4})\newline(B) (187m2)5tm2(18-7m^{2})5tm^{2}\newline(C) 7tm2(13tm25tm4)7tm^{2}(13tm^{2}-5tm^{4})\newline(D) (135m2)7tm2(13-5m^{2})7tm^{2}
  1. Factor out GCF: Factor out the greatest common factor from the given expression 91tm235tm491tm^{2}-35tm^{4}. The greatest common factor is 7tm27tm^{2}. 91tm235tm4=7tm2(135m2)91tm^{2}-35tm^{4} = 7tm^{2}(13-5m^{2})
  2. Match with answer choices: Match the factored expression with the given answer choices.\newline7tm2(135m2)7tm^2(13-5m^2) matches with answer choice (D) (135m2)7tm2(13-5m^2)7tm^2.

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