Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−3x+2
Evaluate
(x−2)(x−1)
Apply the distributive property
x×x−x×1−2x−(−2×1)
Multiply the terms
x2−x×1−2x−(−2×1)
Any expression multiplied by 1 remains the same
x2−x−2x−(−2×1)
Any expression multiplied by 1 remains the same
x2−x−2x−(−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−x−2x+2
Solution
More Steps
Evaluate
−x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−1−2)x
Subtract the numbers
−3x
x2−3x+2
Show Solution
Find the roots
x1=1,x2=2
Evaluate
(x−2)(x−1)
To find the roots of the expression,set the expression equal to 0
(x−2)(x−1)=0
Separate the equation into 2 possible cases
x−2=0x−1=0
Solve the equation
More Steps
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
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=2x=1
Solution
x1=1,x2=2
Show Solution