Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−4x2
Evaluate
(x2−4x)x
Multiply the terms
x(x2−4x)
Apply the distributive property
x×x2−x×4x
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
x3−x×4x
Solution
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Evaluate
x×4x
Use the commutative property to reorder the terms
4x×x
Multiply the terms
4x2
x3−4x2
Show Solution
Factor the expression
x2(x−4)
Evaluate
(x2−4x)x
Multiply the terms
x(x2−4x)
Factor the expression
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Evaluate
x2−4x
Rewrite the expression
x×x−x×4
Factor out x from the expression
x(x−4)
x×x(x−4)
Solution
x2(x−4)
Show Solution
Find the roots
x1=0,x2=4
Evaluate
(x2−4x)x
To find the roots of the expression,set the expression equal to 0
(x2−4x)x=0
Multiply the terms
x(x2−4x)=0
Separate the equation into 2 possible cases
x=0x2−4x=0
Solve the equation
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Evaluate
x2−4x=0
Factor the expression
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Evaluate
x2−4x
Rewrite the expression
x×x−x×4
Factor out x from the expression
x(x−4)
x(x−4)=0
When the product of factors equals 0,at least one factor is 0
x=0x−4=0
Solve the equation for x
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Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=0x=4
x=0x=0x=4
Find the union
x=0x=4
Solution
x1=0,x2=4
Show Solution