Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−6x2
Evaluate
(x−6)x2
Multiply the terms
x2(x−6)
Apply the distributive property
x2×x−x2×6
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2×6
Solution
x3−6x2
Show Solution
Find the roots
x1=0,x2=6
Evaluate
(x−6)(x2)
To find the roots of the expression,set the expression equal to 0
(x−6)(x2)=0
Calculate
(x−6)x2=0
Multiply the terms
x2(x−6)=0
Separate the equation into 2 possible cases
x2=0x−6=0
The only way a power can be 0 is when the base equals 0
x=0x−6=0
Solve the equation
More Steps
Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=0x=6
Solution
x1=0,x2=6
Show Solution