Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−40x5
Evaluate
x4(x2−5x×8)
Multiply the terms
x4(x2−40x)
Apply the distributive property
x4×x2−x4×40x
Multiply the terms
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Evaluate
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
x6−x4×40x
Solution
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Evaluate
x4×40x
Use the commutative property to reorder the terms
40x4×x
Multiply the terms
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Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
40x5
x6−40x5
Show Solution
Factor the expression
x5(x−40)
Evaluate
x4(x2−5x×8)
Multiply the terms
x4(x2−40x)
Factor the expression
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Evaluate
x2−40x
Rewrite the expression
x×x−x×40
Factor out x from the expression
x(x−40)
x4×x(x−40)
Solution
x5(x−40)
Show Solution
Find the roots
x1=0,x2=40
Evaluate
(x4)(x2−5x×8)
To find the roots of the expression,set the expression equal to 0
(x4)(x2−5x×8)=0
Calculate
x4(x2−5x×8)=0
Multiply the terms
x4(x2−40x)=0
Separate the equation into 2 possible cases
x4=0x2−40x=0
The only way a power can be 0 is when the base equals 0
x=0x2−40x=0
Solve the equation
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Evaluate
x2−40x=0
Factor the expression
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Evaluate
x2−40x
Rewrite the expression
x×x−x×40
Factor out x from the expression
x(x−40)
x(x−40)=0
When the product of factors equals 0,at least one factor is 0
x=0x−40=0
Solve the equation for x
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Evaluate
x−40=0
Move the constant to the right-hand side and change its sign
x=0+40
Removing 0 doesn't change the value,so remove it from the expression
x=40
x=0x=40
x=0x=0x=40
Find the union
x=0x=40
Solution
x1=0,x2=40
Show Solution