Question
Simplify the expression
−Tn2LGuagDo
Evaluate
Dao÷Tian÷Li÷Guang
Use the commutative property to reorder the terms
Dao÷iTan÷Li÷Guang
Divide the terms
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Evaluate
Dao÷iTan
Rewrite the expression
iTanDao
Reduce the fraction
iTnDo
Divide the terms
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Evaluate
i1
Multiply by the Conjugate
i×ii
Calculate
−1i
Calculate
−i
Tn−iDo
Use b−a=−ba=−ba to rewrite the fraction
−TniDo
(−TniDo)÷Li÷Guang
Use the commutative property to reorder the terms
(−TniDo)÷iL÷Guang
Divide the terms
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Evaluate
(−TniDo)÷iL
Multiply by the reciprocal
−TniDo×iL1
Cancel out the common factor i
−TnDo×L1
Multiply the terms
−TnLDo
(−TnLDo)÷Guang
Multiply by the reciprocal
−TnLDo×Guang1
Multiply the terms
−TnLGuangDo
Solution
−Tn2LGuagDo
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Find the excluded values
T=0,a=0,n=0,L=0,G=0,u=0,g=0
Evaluate
Dao÷Tian÷Li÷Guang
To find the excluded values,set the denominators equal to 0
Tan=0Li=0Guang=0
Separate the equation into 3 possible cases
T=0a=0n=0Li=0Guang=0
Solve the equations
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Evaluate
Li=0
Use the commutative property to reorder the terms
iL=0
Rewrite the expression
L=0
T=0a=0n=0L=0Guang=0
Solve the equations
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Evaluate
Guang=0
Separate the equation into 5 possible cases
G=0u=0a=0n=0g=0
Find the union
G=0a=0g=0n=0u=0
T=0a=0n=0L=0G=0u=0a=0n=0g=0
Solution
T=0,a=0,n=0,L=0,G=0,u=0,g=0
Show Solution
