Question
Simplify the expression
2×x3−272×x2+2432×x−7292
Evaluate
(x−9)22×(x−9)
Multiply the terms with the same base by adding their exponents
(x−9)2+12
Add the numbers
(x−9)32
Use the commutative property to reorder the terms
2×(x−9)3
Expand the expression
More Steps

Evaluate
(x−9)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
x3−3x2×9+3x×92−93
Calculate
x3−27x2+243x−729
2×(x3−27x2+243x−729)
Apply the distributive property
2×x3−2×27x2+2×243x−2×729
Multiply the numbers
2×x3−272×x2+2×243x−2×729
Multiply the numbers
2×x3−272×x2+2432×x−2×729
Solution
2×x3−272×x2+2432×x−7292
Show Solution

Find the roots
x=9
Evaluate
(x−9)22×(x−9)
To find the roots of the expression,set the expression equal to 0
(x−9)22×(x−9)=0
Multiply
More Steps

Multiply the terms
(x−9)22×(x−9)
Multiply the terms with the same base by adding their exponents
(x−9)2+12
Add the numbers
(x−9)32
Use the commutative property to reorder the terms
2×(x−9)3
2×(x−9)3=0
Rewrite the expression
(x−9)3=0
The only way a power can be 0 is when the base equals 0
x−9=0
Move the constant to the right-hand side and change its sign
x=0+9
Solution
x=9
Show Solution
