Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4n6−4
Evaluate
n6×4−4
Solution
4n6−4
Show Solution
Factor the expression
4(n−1)(n2+n+1)(n+1)(n2−n+1)
Evaluate
n6×4−4
Use the commutative property to reorder the terms
4n6−4
Factor out 4 from the expression
4(n6−1)
Factor the expression
More Steps
Evaluate
n6−1
Rewrite the expression in exponential form
(n3)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(n3−1)(n3+1)
4(n3−1)(n3+1)
Evaluate
More Steps
Evaluate
n3−1
Rewrite the expression in exponential form
n3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(n−1)(n2+n×1+12)
Any expression multiplied by 1 remains the same
(n−1)(n2+n+12)
1 raised to any power equals to 1
(n−1)(n2+n+1)
4(n−1)(n2+n+1)(n3+1)
Solution
More Steps
Evaluate
n3+1
Rewrite the expression in exponential form
n3+13
Use a3+b3=(a+b)(a2−ab+b2) to factor the expression
(n+1)(n2−n×1+12)
Any expression multiplied by 1 remains the same
(n+1)(n2−n+12)
1 raised to any power equals to 1
(n+1)(n2−n+1)
4(n−1)(n2+n+1)(n+1)(n2−n+1)
Show Solution
Find the roots
n1=−1,n2=1
Evaluate
n6×4−4
To find the roots of the expression,set the expression equal to 0
n6×4−4=0
Use the commutative property to reorder the terms
4n6−4=0
Move the constant to the right-hand side and change its sign
4n6=0+4
Removing 0 doesn't change the value,so remove it from the expression
4n6=4
Divide both sides
44n6=44
Divide the numbers
n6=44
Divide the numbers
More Steps
Evaluate
44
Reduce the numbers
11
Calculate
1
n6=1
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±61
Simplify the expression
n=±1
Separate the equation into 2 possible cases
n=1n=−1
Solution
n1=−1,n2=1
Show Solution