Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2
Evaluate
x211×3
Divide the terms
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Evaluate
x211
Multiply by the reciprocal
1×x2
Any expression multiplied by 1 remains the same
x2
x2×3
Solution
3x2
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Find the excluded values
x=0
Evaluate
(x21)1×3
To find the excluded values,set the denominators equal to 0
x2=0x21=0
The only way a power can be 0 is when the base equals 0
x=0x21=0
Solve the equations
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Evaluate
x21=0
Cross multiply
1=x2×0
Simplify the equation
1=0
The statement is false for any value of x
x∈∅
x=0x∈∅
Solution
x=0
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Find the roots
x∈∅
Evaluate
(x21)1×3
To find the roots of the expression,set the expression equal to 0
(x21)1×3=0
Find the domain
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Evaluate
{x2=0x21=0
The only way a power can not be 0 is when the base not equals 0
{x=0x21=0
Calculate
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Evaluate
x21=0
Multiply both sides
x21×x2=0×x2
Evaluate
1=0×x2
Multiply both sides
1=0
The statement is true for any value of x
x∈R
{x=0x∈R
Find the intersection
x=0
(x21)1×3=0,x=0
Calculate
(x21)1×3=0
Remove the unnecessary parentheses
x211×3=0
Divide the terms
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Evaluate
x211
Multiply by the reciprocal
1×x2
Any expression multiplied by 1 remains the same
x2
x2×3=0
Use the commutative property to reorder the terms
3x2=0
Rewrite the expression
x2=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution