Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x5−12x4
Evaluate
2x3(x2−6x×1)
Multiply the terms
2x3(x2−6x)
Apply the distributive property
2x3×x2−2x3×6x
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
2x5−2x3×6x
Solution
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Evaluate
2x3×6x
Multiply the numbers
12x3×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
12x4
2x5−12x4
Show Solution
Factor the expression
2x4(x−6)
Evaluate
2x3(x2−6x×1)
Multiply the terms
2x3(x2−6x)
Factor the expression
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Evaluate
x2−6x
Rewrite the expression
x×x−x×6
Factor out x from the expression
x(x−6)
2x3×x(x−6)
Solution
2x4(x−6)
Show Solution
Find the roots
x1=0,x2=6
Evaluate
(2x3)(x2−6x×1)
To find the roots of the expression,set the expression equal to 0
(2x3)(x2−6x×1)=0
Multiply the terms
2x3(x2−6x×1)=0
Multiply the terms
2x3(x2−6x)=0
Elimination the left coefficient
x3(x2−6x)=0
Separate the equation into 2 possible cases
x3=0x2−6x=0
The only way a power can be 0 is when the base equals 0
x=0x2−6x=0
Solve the equation
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Evaluate
x2−6x=0
Factor the expression
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Evaluate
x2−6x
Rewrite the expression
x×x−x×6
Factor out x from the expression
x(x−6)
x(x−6)=0
When the product of factors equals 0,at least one factor is 0
x=0x−6=0
Solve the equation for x
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Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=0x=6
x=0x=0x=6
Find the union
x=0x=6
Solution
x1=0,x2=6
Show Solution