1/(a+b)-1/(a-b)
This solution deals with adding, subtracting and finding the least common multiple.
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Step by Step Solution
Step 1 :
1 Simplify ————— a - bEquation at the kết thúc of step 1 : 1 1 ——————— - ————— (a + b) a - bStep 2 :
1 Simplify ————— a + bEquation at the kết thúc of step 2 : 1 1 ————— - ————— a + b a - bStep 3 :
Calculating the Least Common Multiple :3.1 Find the Least Common Multiple The left denominator is : a+b The right denominator is : a-b| a+b | 1 | 0 | 1 |
| a-b | 0 | 1 | 1 |
Least Common Multiple: (a+b)•(a-b)
Calculating Multipliers :3.2 Calculate multipliers for the two fractions Denote the Least Common Multiple by L.C.M Denote the Left Multiplier by Left_M Denote the Right Multiplier by Right_M Denote the Left Deniminator by L_Deno Denote the Right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=a-bRight_M=L.C.M/R_Deno=a+b
Making Equivalent Fractions :3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value. For example : một nửa and 2/4 are equivalent, y/(y+1)2 và (y2+y)/(y+1)3 are equivalent as well. Khổng lồ calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. A-b —————————————————— = ————————————— L.C.M (a+b) • (a-b) R. Mult. • R.
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Num. A+b —————————————————— = ————————————— L.C.M (a+b) • (a-b)Adding fractions that have a common denominator :3.4 Adding up the two equivalent fractions showroom the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce khổng lồ lowest terms if possible:
a-b - (a+b) -2b ————————————— = ————————————————— (a+b) • (a-b) (a + b) • (a - b)