Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−3x2
Evaluate
x3−2x2−x2
Solution
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Evaluate
−2x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(−2−1)x2
Subtract the numbers
−3x2
x3−3x2
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Factor the expression
x2(x−3)
Evaluate
x3−2x2−x2
Subtract the terms
More Steps
Evaluate
−2x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(−2−1)x2
Subtract the numbers
−3x2
x3−3x2
Rewrite the expression
x2×x−x2×3
Solution
x2(x−3)
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Find the roots
x1=0,x2=3
Evaluate
x3−2x2−x2
To find the roots of the expression,set the expression equal to 0
x3−2x2−x2=0
Subtract the terms
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Simplify
x3−2x2−x2
Subtract the terms
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Evaluate
−2x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(−2−1)x2
Subtract the numbers
−3x2
x3−3x2
x3−3x2=0
Factor the expression
x2(x−3)=0
Separate the equation into 2 possible cases
x2=0x−3=0
The only way a power can be 0 is when the base equals 0
x=0x−3=0
Solve the equation
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Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=0x=3
Solution
x1=0,x2=3
Show Solution