Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−1−n3
Evaluate
3−n2×n−4
Multiply the terms
More Steps
Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
3−n3−4
Solution
−1−n3
Show Solution
Factor the expression
−(1+n)(n2−n+1)
Evaluate
3−n2×n−4
Multiply the terms
More Steps
Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
3−n3−4
Subtract the numbers
−1−n3
Factor out −1 from the expression
−(1+n3)
Solution
More Steps
Evaluate
1+n3
Calculate
n2−n+1+n3−n2+n
Rewrite the expression
n2−n+1+n×n2−n×n+n
Factor out n from the expression
n2−n+1+n(n2−n+1)
Factor out n2−n+1 from the expression
(1+n)(n2−n+1)
−(1+n)(n2−n+1)
Show Solution
Find the roots
n=−1
Evaluate
3−n2×n−4
To find the roots of the expression,set the expression equal to 0
3−n2×n−4=0
Multiply the terms
More Steps
Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
3−n3−4=0
Subtract the numbers
−1−n3=0
Move the constant to the right-hand side and change its sign
−n3=0+1
Removing 0 doesn't change the value,so remove it from the expression
−n3=1
Change the signs on both sides of the equation
n3=−1
Take the 3-th root on both sides of the equation
3n3=3−1
Calculate
n=3−1
Solution
More Steps
Evaluate
3−1
An odd root of a negative radicand is always a negative
−31
Simplify the radical expression
−1
n=−1
Show Solution