Question
Simplify the expression
h3−2h2
Evaluate
(h−2)h2
Multiply the terms
h2(h−2)
Apply the distributive property
h2×h−h2×2
Multiply the terms
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Evaluate
h2×h
Use the product rule an×am=an+m to simplify the expression
h2+1
Add the numbers
h3
h3−h2×2
Solution
h3−2h2
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Find the roots
h1=0,h2=2
Evaluate
(h−2)(h2)
To find the roots of the expression,set the expression equal to 0
(h−2)(h2)=0
Calculate
(h−2)h2=0
Multiply the terms
h2(h−2)=0
Separate the equation into 2 possible cases
h2=0h−2=0
The only way a power can be 0 is when the base equals 0
h=0h−2=0
Solve the equation
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Evaluate
h−2=0
Move the constant to the right-hand side and change its sign
h=0+2
Removing 0 doesn't change the value,so remove it from the expression
h=2
h=0h=2
Solution
h1=0,h2=2
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