Question
Simplify the expression
2x31
Evaluate
x2x1×21
Multiply the terms
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Evaluate
x1×21
Multiply the terms
x×21
Use the commutative property to reorder the terms
2x1
x22x1
Multiply by the reciprocal
2x1×x21
Multiply the terms
2x×x21
Solution
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
2x31
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Find the excluded values
x=0
Evaluate
x2x1×21
To find the excluded values,set the denominators equal to 0
x=0x2=0
The only way a power can be 0 is when the base equals 0
x=0x=0
Solution
x=0
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Find the roots
x∈∅
Evaluate
x2x1×21
To find the roots of the expression,set the expression equal to 0
x2x1×21=0
Find the domain
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Evaluate
{x=0x2=0
The only way a power can not be 0 is when the base not equals 0
{x=0x=0
Find the intersection
x=0
x2x1×21=0,x=0
Calculate
x2x1×21=0
Multiply the terms
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Evaluate
x1×21
Multiply the terms
x×21
Use the commutative property to reorder the terms
2x1
x22x1=0
Divide the terms
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Evaluate
x22x1
Multiply by the reciprocal
2x1×x21
Multiply the terms
2x×x21
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
2x31
2x31=0
Cross multiply
1=2x3×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution
