Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−2x2−x+2
Evaluate
(x−1)(x2−x−2)
Apply the distributive property
x×x2−x×x−x×2−x2−(−x)−(−2)
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×x−x×2−x2−(−x)−(−2)
Multiply the terms
x3−x2−x×2−x2−(−x)−(−2)
Use the commutative property to reorder the terms
x3−x2−2x−x2−(−x)−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3−x2−2x−x2+x+2
Subtract the terms
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Evaluate
−x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)x2
Subtract the numbers
−2x2
x3−2x2−2x+x+2
Solution
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Evaluate
−2x+x
Collect like terms by calculating the sum or difference of their coefficients
(−2+1)x
Add the numbers
−x
x3−2x2−x+2
Show Solution
Factor the expression
(x−1)(x−2)(x+1)
Evaluate
(x−1)(x2−x−2)
Solution
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Evaluate
x2−x−2
Rewrite the expression
x2+(1−2)x−2
Calculate
x2+x−2x−2
Rewrite the expression
x×x+x−2x−2
Factor out x from the expression
x(x+1)−2x−2
Factor out −2 from the expression
x(x+1)−2(x+1)
Factor out x+1 from the expression
(x−2)(x+1)
(x−1)(x−2)(x+1)
Show Solution
Find the roots
x1=−1,x2=1,x3=2
Evaluate
(x−1)(x2−x−2)
To find the roots of the expression,set the expression equal to 0
(x−1)(x2−x−2)=0
Separate the equation into 2 possible cases
x−1=0x2−x−2=0
Solve the equation
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Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x2−x−2=0
Solve the equation
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Evaluate
x2−x−2=0
Factor the expression
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Evaluate
x2−x−2
Rewrite the expression
x2+(1−2)x−2
Calculate
x2+x−2x−2
Rewrite the expression
x×x+x−2x−2
Factor out x from the expression
x(x+1)−2x−2
Factor out −2 from the expression
x(x+1)−2(x+1)
Factor out x+1 from the expression
(x−2)(x+1)
(x−2)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−2=0x+1=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=2x+1=0
Solve the equation for x
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Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=2x=−1
x=1x=2x=−1
Solution
x1=−1,x2=1,x3=2
Show Solution