Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8x5−108x4
Evaluate
2x3(4x2−6x×9)
Multiply the terms
2x3(4x2−54x)
Apply the distributive property
2x3×4x2−2x3×54x
Multiply the terms
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Evaluate
2x3×4x2
Multiply the numbers
8x3×x2
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
8x5
8x5−2x3×54x
Solution
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Evaluate
2x3×54x
Multiply the numbers
108x3×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
108x4
8x5−108x4
Show Solution
Factor the expression
4x4(2x−27)
Evaluate
2x3(4x2−6x×9)
Multiply the terms
2x3(4x2−54x)
Factor the expression
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Evaluate
4x2−54x
Rewrite the expression
2x×2x−2x×27
Factor out 2x from the expression
2x(2x−27)
2x3×2x(2x−27)
Solution
4x4(2x−27)
Show Solution
Find the roots
x1=0,x2=227
Alternative Form
x1=0,x2=13.5
Evaluate
(2x3)(4x2−6x×9)
To find the roots of the expression,set the expression equal to 0
(2x3)(4x2−6x×9)=0
Multiply the terms
2x3(4x2−6x×9)=0
Multiply the terms
2x3(4x2−54x)=0
Elimination the left coefficient
x3(4x2−54x)=0
Separate the equation into 2 possible cases
x3=04x2−54x=0
The only way a power can be 0 is when the base equals 0
x=04x2−54x=0
Solve the equation
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Evaluate
4x2−54x=0
Factor the expression
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Evaluate
4x2−54x
Rewrite the expression
2x×2x−2x×27
Factor out 2x from the expression
2x(2x−27)
2x(2x−27)=0
When the product of factors equals 0,at least one factor is 0
2x=02x−27=0
Solve the equation for x
x=02x−27=0
Solve the equation for x
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Evaluate
2x−27=0
Move the constant to the right-hand side and change its sign
2x=0+27
Removing 0 doesn't change the value,so remove it from the expression
2x=27
Divide both sides
22x=227
Divide the numbers
x=227
x=0x=227
x=0x=0x=227
Find the union
x=0x=227
Solution
x1=0,x2=227
Alternative Form
x1=0,x2=13.5
Show Solution