# SOLUTION: Perform the indicated operations and simplify the following expression: x+6/x^2-16 * 3x-12/3x+18 A) 0 B) 3 / 3(x+4) C) 1/x+4 D) -1/x+4

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Perform the indicated operations and simplify the following expression: x+6/x^2-16 * 3x-12/3x+18 A) 0 B) 3 / 3(x+4) C) 1/x+4 D) -1/x+4      Log On

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 Question 145591: Perform the indicated operations and simplify the following expression: x+6/x^2-16 * 3x-12/3x+18 A) 0 B) 3 / 3(x+4) C) 1/x+4 D) -1/x+4Found 2 solutions by stanbon, jim_thompson5910:Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!Perform the indicated operations and simplify the following expression: [(x+6)/(x^2-16)] * [(3x-12)/(3x+18)] Factor where you can to get: [(x+6)/[(x-4)(x+4)]] * [3(x-4)/[3(x+6)] Cancel any fact that is common to numerator and a denominator such as (x+6) and (x-4) and 3 ------- = [1/[(x+4)]] * [1/[1])] = 1/(x+4) ============ Cheers, Stan H. A) 0 B) 3 / 3(x+4) C) 1/x+4 D) -1/x+4 Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, where ,, or So the answer choice is C