Question
Simplify the expression
−2h3−h2
Evaluate
h3−h2−3h3
Solution
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Evaluate
h3−3h3
Collect like terms by calculating the sum or difference of their coefficients
(1−3)h3
Subtract the numbers
−2h3
−2h3−h2
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Factor the expression
−h2(2h+1)
Evaluate
h3−h2−3h3
Subtract the terms
More Steps

Evaluate
h3−3h3
Collect like terms by calculating the sum or difference of their coefficients
(1−3)h3
Subtract the numbers
−2h3
−2h3−h2
Rewrite the expression
−h2×2h−h2
Solution
−h2(2h+1)
Show Solution

Find the roots
h1=−21,h2=0
Alternative Form
h1=−0.5,h2=0
Evaluate
h3−h2−3h3
To find the roots of the expression,set the expression equal to 0
h3−h2−3h3=0
Subtract the terms
More Steps

Simplify
h3−h2−3h3
Subtract the terms
More Steps

Evaluate
h3−3h3
Collect like terms by calculating the sum or difference of their coefficients
(1−3)h3
Subtract the numbers
−2h3
−2h3−h2
−2h3−h2=0
Factor the expression
−h2(2h+1)=0
Divide both sides
h2(2h+1)=0
Separate the equation into 2 possible cases
h2=02h+1=0
The only way a power can be 0 is when the base equals 0
h=02h+1=0
Solve the equation
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Evaluate
2h+1=0
Move the constant to the right-hand side and change its sign
2h=0−1
Removing 0 doesn't change the value,so remove it from the expression
2h=−1
Divide both sides
22h=2−1
Divide the numbers
h=2−1
Use b−a=−ba=−ba to rewrite the fraction
h=−21
h=0h=−21
Solution
h1=−21,h2=0
Alternative Form
h1=−0.5,h2=0
Show Solution
