Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x3−6x2
Evaluate
3x(x2−2x×1)
Multiply the terms
3x(x2−2x)
Apply the distributive property
3x×x2−3x×2x
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
3x3−3x×2x
Solution
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Evaluate
3x×2x
Multiply the numbers
6x×x
Multiply the terms
6x2
3x3−6x2
Show Solution
Factor the expression
3x2(x−2)
Evaluate
3x(x2−2x×1)
Multiply the terms
3x(x2−2x)
Factor the expression
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Evaluate
x2−2x
Rewrite the expression
x×x−x×2
Factor out x from the expression
x(x−2)
3x×x(x−2)
Solution
3x2(x−2)
Show Solution
Find the roots
x1=0,x2=2
Evaluate
3x(x2−2x×1)
To find the roots of the expression,set the expression equal to 0
3x(x2−2x×1)=0
Multiply the terms
3x(x2−2x)=0
Elimination the left coefficient
x(x2−2x)=0
Separate the equation into 2 possible cases
x=0x2−2x=0
Solve the equation
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Evaluate
x2−2x=0
Factor the expression
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Evaluate
x2−2x
Rewrite the expression
x×x−x×2
Factor out x from the expression
x(x−2)
x(x−2)=0
When the product of factors equals 0,at least one factor is 0
x=0x−2=0
Solve the equation for x
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=2
x=0x=0x=2
Find the union
x=0x=2
Solution
x1=0,x2=2
Show Solution