Question
Factor the expression
4(d−1)(d+1)(d2+1)
Evaluate
4d4−4
Factor out 4 from the expression
4(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)
4(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)
4(d−1)(d+1)(d2+1)
Show Solution

Find the roots
d1=−1,d2=1
Evaluate
4d4−4
To find the roots of the expression,set the expression equal to 0
4d4−4=0
Move the constant to the right-hand side and change its sign
4d4=0+4
Removing 0 doesn't change the value,so remove it from the expression
4d4=4
Divide both sides
44d4=44
Divide the numbers
d4=44
Divide the numbers
More Steps

Evaluate
44
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
