Question
Simplify the expression
Solution
x8−6x7+9x6
Evaluate
(x−3)2(x3)2
Multiply the exponents
(x−3)2x3×2
Multiply the numbers
(x−3)2x6
Use the commutative property to reorder the terms
x6(x−3)2
Expand the expression
More Steps

Evaluate
(x−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×3+32
Calculate
x2−6x+9
x6(x2−6x+9)
Apply the distributive property
x6×x2−x6×6x+x6×9
Multiply the terms
More Steps

Evaluate
x6×x2
Use the product rule an×am=an+m to simplify the expression
x6+2
Add the numbers
x8
x8−x6×6x+x6×9
Multiply the terms
More Steps

Evaluate
x6×6x
Use the commutative property to reorder the terms
6x6×x
Multiply the terms
More Steps

Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
6x7
x8−6x7+x6×9
Solution
x8−6x7+9x6
Show Solution
Find the roots
Find the roots of the algebra expression
x1=0,x2=3
Evaluate
(x−3)2(x3)2
To find the roots of the expression,set the expression equal to 0
(x−3)2(x3)2=0
Evaluate the power
More Steps

Evaluate
(x3)2
Transform the expression
x3×2
Multiply the numbers
x6
(x−3)2x6=0
Use the commutative property to reorder the terms
x6(x−3)2=0
Separate the equation into 2 possible cases
x6=0(x−3)2=0
The only way a power can be 0 is when the base equals 0
x=0(x−3)2=0
Solve the equation
More Steps

Evaluate
(x−3)2=0
The only way a power can be 0 is when the base equals 0
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=0x=3
Solution
x1=0,x2=3
Show Solution