Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x3+3
Evaluate
3+3x3−3+3
Solution
3x3+3
Show Solution
Factor the expression
3(x+1)(x2−x+1)
Evaluate
3+3x3−3+3
Since two opposites add up to 0,remove them form the expression
3x3+3
Factor out 3 from the expression
3(x3+1)
Solution
More Steps
Evaluate
x3+1
Calculate
x3−x2+x+x2−x+1
Rewrite the expression
x×x2−x×x+x+x2−x+1
Factor out x from the expression
x(x2−x+1)+x2−x+1
Factor out x2−x+1 from the expression
(x+1)(x2−x+1)
3(x+1)(x2−x+1)
Show Solution
Find the roots
x=−1
Evaluate
3+3x3−3+3
To find the roots of the expression,set the expression equal to 0
3+3x3−3+3=0
Since two opposites add up to 0,remove them form the expression
3x3+3=0
Move the constant to the right-hand side and change its sign
3x3=0−3
Removing 0 doesn't change the value,so remove it from the expression
3x3=−3
Divide both sides
33x3=3−3
Divide the numbers
x3=3−3
Divide the numbers
More Steps
Evaluate
3−3
Reduce the numbers
1−1
Calculate
−1
x3=−1
Take the 3-th root on both sides of the equation
3x3=3−1
Calculate
x=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
x=−1
Show Solution