Question
Simplify the expression
x2−3x+2
Evaluate
(x−1)(x−2)
Apply the distributive property
x×x−x×2−x−(−2)
Multiply the terms
x2−x×2−x−(−2)
Use the commutative property to reorder the terms
x2−2x−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
x2−2x−x+2
Solution
More Steps

Evaluate
−2x−x
Collect like terms by calculating the sum or difference of their coefficients
(−2−1)x
Subtract the numbers
−3x
x2−3x+2
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Find the roots
x1=1,x2=2
Evaluate
(x−1)(x−2)
To find the roots of the expression,set the expression equal to 0
(x−1)(x−2)=0
Separate the equation into 2 possible cases
x−1=0x−2=0
Solve the equation
More Steps

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=1x−2=0
Solve the equation
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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=1x=2
Solution
x1=1,x2=2
Show Solution
