Question
Simplify the expression
121x10−605x9
Evaluate
(x2×11)2(x−5)x5
Use the commutative property to reorder the terms
(11x2)2(x−5)x5
Multiply the terms
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Evaluate
(11x2)2x5
Rewrite the expression
121x4×x5
Multiply the terms
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Evaluate
x4×x5
Use the product rule an×am=an+m to simplify the expression
x4+5
Add the numbers
x9
121x9
121x9(x−5)
Apply the distributive property
121x9×x−121x9×5
Multiply the terms
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Evaluate
x9×x
Use the product rule an×am=an+m to simplify the expression
x9+1
Add the numbers
x10
121x10−121x9×5
Solution
121x10−605x9
Show Solution

Find the roots
x1=0,x2=5
Evaluate
(x2×11)2(x−5)(x5)
To find the roots of the expression,set the expression equal to 0
(x2×11)2(x−5)(x5)=0
Use the commutative property to reorder the terms
(11x2)2(x−5)(x5)=0
Calculate
(11x2)2(x−5)x5=0
Multiply the terms
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Multiply the terms
(11x2)2(x−5)x5
Multiply the terms
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Evaluate
(11x2)2x5
Rewrite the expression
121x4×x5
Multiply the terms
121x9
121x9(x−5)
121x9(x−5)=0
Elimination the left coefficient
x9(x−5)=0
Separate the equation into 2 possible cases
x9=0x−5=0
The only way a power can be 0 is when the base equals 0
x=0x−5=0
Solve the equation
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Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=0x=5
Solution
x1=0,x2=5
Show Solution
