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Simplify (a ^ 2)/((a - b)(a - c)) + (b ^ 2)/((b - a)(b - c)) + (c ^ 2)/((c - a)(c - b)) |
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Answer» i gave the answerStep-by-step explanation:Simplify ————— c - aEquation at the end of step1: 2 2 2 (((a•—————)•(a-c))+((b•—————)•(b-a)))+((c•———)•(c-b)) (a-b) (b-c) c-aSTEP2:Equation at the end of step 2 2 2 2c (((a•—————)•(a-c))+((b•—————)•(b-a)))+(———•(c-b)) (a-b) (b-c) c-aSTEP3:Equation at the end of step 3 2 2 2c•(c-b) (((a•—————)•(a-c))+((b•—————)•(b-a)))+———————— (a-b) (b-c) c-a STEP4: 2 Simplify ————— b - cEquation at the end of step4: 2 2 2c•(c-b) (((a•—————)•(a-c))+((b•———)•(b-a)))+———————— (a-b) b-c c-a STEP5:Equation at the end of step 5 2 2B 2c•(c-b) (((a•—————)•(a-c))+(———•(b-a)))+———————— (a-b) b-c c-a STEP6:Equation at the end of step 6 2 2b•(b-a) 2c•(c-b) (((a•—————)•(a-c))+————————)+———————— (a-b) b-c c-a STEP7: 2 Simplify ————— a - bEquation at the end of step7: 2 2b•(b-a) 2c•(c-b) (((a•———)•(a-c))+————————)+———————— a-b b-c c-a STEP8:Equation at the end of step 8 2a 2b•(b-a) 2c•(c-b) ((———•(a-c))+————————)+———————— a-b b-c c-a STEP9:Equation at the end of step 9 2a•(a-c) 2b•(b-a) 2c•(c-b) (————————+————————)+———————— a-b b-c c-a STEP10:Calculating the Least Common Multiple : 10.1 Find the Least Common Multiple The left DENOMINATOR is : a-b The right denominator is : b-c Number of TIMES each ALGEBRAIC Factor appears in the factorization of: Algebraic Factor Left Denominator Right Denominator L.C.M = Max {Left,Right} a-b 1 0 1 b-c 0 1 |
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