Question
Simplify the expression
x24x−9
Evaluate
(x8x−3)3
Multiply the exponents
x(8x−3)×3
Multiply the terms
x3(8x−3)
Solution
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Evaluate
3(8x−3)
Apply the distributive property
3×8x−3×3
Multiply the numbers
24x−3×3
Multiply the numbers
24x−9
x24x−9
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Find the roots
x∈∅
Evaluate
(x8x−3)3
To find the roots of the expression,set the expression equal to 0
(x8x−3)3=0
Find the domain
(x8x−3)3=0,x>0
Calculate
(x8x−3)3=0
Evaluate the power
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Evaluate
(x8x−3)3
Transform the expression
x(8x−3)×3
Multiply the terms
x3(8x−3)
x3(8x−3)=0
Rewrite the expression
{x=03(8x−3)>0
Evaluate
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Evaluate
3(8x−3)>0
Calculate
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Evaluate
3(8x−3)
Apply the theorem
3(0−3)
Removing 0 doesn't change the value,so remove it from the expression
3(−3)
Multiply the terms
−9
−9>0
Evaluate
false
{x=0false
Solution
x∈∅
Show Solution
