Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a3+3a2
Evaluate
a3+a+3a2−a
The sum of two opposites equals 0
More Steps
Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
a3+0+3a2
Solution
a3+3a2
Show Solution
Factor the expression
a2(a+3)
Evaluate
a3+a+3a2−a
The sum of two opposites equals 0
More Steps
Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
a3+0+3a2
Remove 0
a3+3a2
Rewrite the expression
a2×a+a2×3
Solution
a2(a+3)
Show Solution
Find the roots
a1=−3,a2=0
Evaluate
a3+a+3a2−a
To find the roots of the expression,set the expression equal to 0
a3+a+3a2−a=0
Calculate the sum or difference
More Steps
Simplify
a3+a+3a2−a
The sum of two opposites equals 0
More Steps
Evaluate
a−a
Collect like terms
(1−1)a
Add the coefficients
0×a
Calculate
0
a3+0+3a2
Remove 0
a3+3a2
a3+3a2=0
Factor the expression
a2(a+3)=0
Separate the equation into 2 possible cases
a2=0a+3=0
The only way a power can be 0 is when the base equals 0
a=0a+3=0
Solve the equation
More Steps
Evaluate
a+3=0
Move the constant to the right-hand side and change its sign
a=0−3
Removing 0 doesn't change the value,so remove it from the expression
a=−3
a=0a=−3
Solution
a1=−3,a2=0
Show Solution