Question
Simplify the expression
243x3−729x
Evaluate
(x2−3)(x×9)×27
Remove the parentheses
(x2−3)x×9×27
Multiply the terms
(x2−3)x×243
Use the commutative property to reorder the terms
(x2−3)×243x
Multiply the terms
243x(x2−3)
Apply the distributive property
243x×x2−243x×3
Multiply the terms
More Steps

Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
243x3−243x×3
Solution
243x3−729x
Show Solution

Find the roots
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Evaluate
(x2−3)(x×9)×27
To find the roots of the expression,set the expression equal to 0
(x2−3)(x×9)×27=0
Use the commutative property to reorder the terms
(x2−3)×9x×27=0
Multiply the terms
More Steps

Multiply the terms
(x2−3)×9x×27
Multiply the terms
(x2−3)×243x
Multiply the terms
243x(x2−3)
243x(x2−3)=0
Elimination the left coefficient
x(x2−3)=0
Separate the equation into 2 possible cases
x=0x2−3=0
Solve the equation
More Steps

Evaluate
x2−3=0
Move the constant to the right-hand side and change its sign
x2=0+3
Removing 0 doesn't change the value,so remove it from the expression
x2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3
Separate the equation into 2 possible cases
x=3x=−3
x=0x=3x=−3
Solution
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Show Solution
