Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
36d4−36
Evaluate
d4×36−36
Solution
36d4−36
Show Solution
Factor the expression
36(d−1)(d+1)(d2+1)
Evaluate
d4×36−36
Use the commutative property to reorder the terms
36d4−36
Factor out 36 from the expression
36(d4−1)
Factor the expression
More Steps
Evaluate
d4−1
Rewrite the expression in exponential form
(d2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(d2−1)(d2+1)
36(d2−1)(d2+1)
Solution
More Steps
Evaluate
d2−1
Rewrite the expression in exponential form
d2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(d−1)(d+1)
36(d−1)(d+1)(d2+1)
Show Solution
Find the roots
d1=−1,d2=1
Evaluate
d4×36−36
To find the roots of the expression,set the expression equal to 0
d4×36−36=0
Use the commutative property to reorder the terms
36d4−36=0
Move the constant to the right-hand side and change its sign
36d4=0+36
Removing 0 doesn't change the value,so remove it from the expression
36d4=36
Divide both sides
3636d4=3636
Divide the numbers
d4=3636
Divide the numbers
More Steps
Evaluate
3636
Reduce the numbers
11
Calculate
1
d4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±41
Simplify the expression
d=±1
Separate the equation into 2 possible cases
d=1d=−1
Solution
d1=−1,d2=1
Show Solution