Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
36h4−36
Evaluate
h4×36−36
Solution
36h4−36
Show Solution
Factor the expression
36(h−1)(h+1)(h2+1)
Evaluate
h4×36−36
Use the commutative property to reorder the terms
36h4−36
Factor out 36 from the expression
36(h4−1)
Factor the expression
More Steps
Evaluate
h4−1
Rewrite the expression in exponential form
(h2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(h2−1)(h2+1)
36(h2−1)(h2+1)
Solution
More Steps
Evaluate
h2−1
Rewrite the expression in exponential form
h2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(h−1)(h+1)
36(h−1)(h+1)(h2+1)
Show Solution
Find the roots
h1=−1,h2=1
Evaluate
h4×36−36
To find the roots of the expression,set the expression equal to 0
h4×36−36=0
Use the commutative property to reorder the terms
36h4−36=0
Move the constant to the right-hand side and change its sign
36h4=0+36
Removing 0 doesn't change the value,so remove it from the expression
36h4=36
Divide both sides
3636h4=3636
Divide the numbers
h4=3636
Divide the numbers
More Steps
Evaluate
3636
Reduce the numbers
11
Calculate
1
h4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±41
Simplify the expression
h=±1
Separate the equation into 2 possible cases
h=1h=−1
Solution
h1=−1,h2=1
Show Solution