Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−9x4
Evaluate
x3(x2−9x)
Apply the distributive property
x3×x2−x3×9x
Multiply the terms
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Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
x5−x3×9x
Solution
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Evaluate
x3×9x
Use the commutative property to reorder the terms
9x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
9x4
x5−9x4
Show Solution
Factor the expression
x4(x−9)
Evaluate
x3(x2−9x)
Factor the expression
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Evaluate
x2−9x
Rewrite the expression
x×x−x×9
Factor out x from the expression
x(x−9)
x3×x(x−9)
Solution
x4(x−9)
Show Solution
Find the roots
x1=0,x2=9
Evaluate
(x3)(x2−9x)
To find the roots of the expression,set the expression equal to 0
(x3)(x2−9x)=0
Calculate
x3(x2−9x)=0
Separate the equation into 2 possible cases
x3=0x2−9x=0
The only way a power can be 0 is when the base equals 0
x=0x2−9x=0
Solve the equation
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Evaluate
x2−9x=0
Factor the expression
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Evaluate
x2−9x
Rewrite the expression
x×x−x×9
Factor out x from the expression
x(x−9)
x(x−9)=0
When the product of factors equals 0,at least one factor is 0
x=0x−9=0
Solve the equation for x
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Evaluate
x−9=0
Move the constant to the right-hand side and change its sign
x=0+9
Removing 0 doesn't change the value,so remove it from the expression
x=9
x=0x=9
x=0x=0x=9
Find the union
x=0x=9
Solution
x1=0,x2=9
Show Solution