Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4r4−4
Evaluate
r4×4−4
Solution
4r4−4
Show Solution
Factor the expression
4(r−1)(r+1)(r2+1)
Evaluate
r4×4−4
Use the commutative property to reorder the terms
4r4−4
Factor out 4 from the expression
4(r4−1)
Factor the expression
More Steps
Evaluate
r4−1
Rewrite the expression in exponential form
(r2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(r2−1)(r2+1)
4(r2−1)(r2+1)
Solution
More Steps
Evaluate
r2−1
Rewrite the expression in exponential form
r2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(r−1)(r+1)
4(r−1)(r+1)(r2+1)
Show Solution
Find the roots
r1=−1,r2=1
Evaluate
r4×4−4
To find the roots of the expression,set the expression equal to 0
r4×4−4=0
Use the commutative property to reorder the terms
4r4−4=0
Move the constant to the right-hand side and change its sign
4r4=0+4
Removing 0 doesn't change the value,so remove it from the expression
4r4=4
Divide both sides
44r4=44
Divide the numbers
r4=44
Divide the numbers
More Steps
Evaluate
44
Reduce the numbers
11
Calculate
1
r4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±41
Simplify the expression
r=±1
Separate the equation into 2 possible cases
r=1r=−1
Solution
r1=−1,r2=1
Show Solution