Question
Simplify the expression
−2a2b2snci∣ab∣
Evaluate
1÷(2∣a∣∣b∣×sinc)
Multiply the terms
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Multiply the terms
2∣a∣∣b∣×sinc
Multiply the terms
2∣ab∣×sinc
Multiply the terms
2i∣ab∣×snc
1÷(2i∣ab∣×snc)
Rewrite the expression
2i∣ab∣×snc1
Multiply numerator and denominator by conjugate of denominator
2i∣ab∣×snc(−2i∣ab∣×snc)1×(−2i∣ab∣×snc)
Simplify the expression
2i∣ab∣×snc(−2i∣ab∣×snc)−2i∣ab∣×snc
Simplify the expression
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Evaluate
2i∣ab∣×snc(−2i∣ab∣×snc)
Rewrite the expression
−2i∣ab∣×snc×2i∣ab∣×snc
Multiply the terms
4∣ab∣×snc∣ab∣×snc
Calculate
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Multiply the terms
∣ab∣∣ab∣
Calculate
∣ab∣1+1
Calculate
∣ab∣2
Calculate
a2b2
4a2b2sncsnc
Calculate
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Multiply the terms
s×s
Calculate
s1+1
Calculate
s2
4a2b2s2ncnc
Calculate
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Multiply the terms
n×n
Calculate
n1+1
Calculate
n2
4a2b2s2n2c×c
Calculate
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Multiply the terms
c×c
Calculate
c1+1
Calculate
c2
4a2b2s2n2c2
4a2b2s2n2c2−2i∣ab∣×snc
Reduce the fraction
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Calculate
s2s
Use the product rule aman=an−m to simplify the expression
s2−11
Subtract the terms
s11
Simplify
s1
4a2b2sn2c2−2i∣ab∣×nc
Reduce the fraction
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Calculate
n2n
Use the product rule aman=an−m to simplify the expression
n2−11
Subtract the terms
n11
Simplify
n1
4a2b2snc2−2i∣ab∣×c
Reduce the fraction
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Calculate
c2c
Use the product rule aman=an−m to simplify the expression
c2−11
Subtract the terms
c11
Simplify
c1
4a2b2snc−2i∣ab∣
Factor
4a2b2snc−2i∣ab∣×1×1×1
Factor the expression
4a2b2snc2(−i)∣ab∣
Reduce the fraction
2a2b2snc−i∣ab∣
Solution
−2a2b2snci∣ab∣
Show Solution

Find the excluded values
s=0,a=0,b=0,n=0,c=0
Evaluate
1÷(2∣a∣∣b∣×sinc)
To find the excluded values,set the denominators equal to 0
∣a∣∣b∣×snc=0
Multiply the terms
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Evaluate
∣a∣∣b∣×snc
Multiply the terms
∣ab∣×snc
Calculate
s∣ab∣×nc
s∣ab∣×nc=0
Separate the equation into 4 possible cases
s=0∣ab∣=0n=0c=0
Solve the equation
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Evaluate
∣ab∣=0
Rewrite the expression
ab=0
Separate the equation into 2 possible cases
a=0b=0
s=0a=0b=0n=0c=0
Solution
s=0,a=0,b=0,n=0,c=0
Show Solution
