Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−h8h+16
Evaluate
h2−8h2−16h
Use b−a=−ba=−ba to rewrite the fraction
−h28h2+16h
Factor
−h2h(8h+16)
Solution
More Steps
Calculate
h2h
Use the product rule aman=an−m to simplify the expression
h2−11
Subtract the terms
h11
Simplify
h1
−h8h+16
Show Solution
Find the excluded values
h=0
Evaluate
h2−8h2−16h
To find the excluded values,set the denominators equal to 0
h2=0
Solution
h=0
Show Solution
Find the roots
h=−2
Evaluate
h2−8h2−16h
To find the roots of the expression,set the expression equal to 0
h2−8h2−16h=0
The only way a power can not be 0 is when the base not equals 0
h2−8h2−16h=0,h=0
Calculate
h2−8h2−16h=0
Divide the terms
More Steps
Evaluate
h2−8h2−16h
Use b−a=−ba=−ba to rewrite the fraction
−h28h2+16h
Factor
−h2h(8h+16)
Reduce the fraction
More Steps
Calculate
h2h
Use the product rule aman=an−m to simplify the expression
h2−11
Subtract the terms
h11
Simplify
h1
−h8h+16
−h8h+16=0
Rewrite the expression
h−8h−16=0
Cross multiply
−8h−16=h×0
Simplify the equation
−8h−16=0
Move the constant to the right side
−8h=0+16
Removing 0 doesn't change the value,so remove it from the expression
−8h=16
Change the signs on both sides of the equation
8h=−16
Divide both sides
88h=8−16
Divide the numbers
h=8−16
Divide the numbers
More Steps
Evaluate
8−16
Reduce the numbers
1−2
Calculate
−2
h=−2
Check if the solution is in the defined range
h=−2,h=0
Solution
h=−2
Show Solution