Question
Simplify the expression
3a3−a2
Evaluate
a2(3a−1)
Apply the distributive property
a2×3a−a2×1
Multiply the terms
More Steps

Evaluate
a2×3a
Use the commutative property to reorder the terms
3a2×a
Multiply the terms
More Steps

Evaluate
a2×a
Use the product rule an×am=an+m to simplify the expression
a2+1
Add the numbers
a3
3a3
3a3−a2×1
Solution
3a3−a2
Show Solution

Find the roots
a1=0,a2=31
Alternative Form
a1=0,a2=0.3˙
Evaluate
(a2)(3a−1)
To find the roots of the expression,set the expression equal to 0
(a2)(3a−1)=0
Calculate
a2(3a−1)=0
Separate the equation into 2 possible cases
a2=03a−1=0
The only way a power can be 0 is when the base equals 0
a=03a−1=0
Solve the equation
More Steps

Evaluate
3a−1=0
Move the constant to the right-hand side and change its sign
3a=0+1
Removing 0 doesn't change the value,so remove it from the expression
3a=1
Divide both sides
33a=31
Divide the numbers
a=31
a=0a=31
Solution
a1=0,a2=31
Alternative Form
a1=0,a2=0.3˙
Show Solution
