Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−6x+8
Evaluate
(x−4)(x−2)
Apply the distributive property
x×x−x×2−4x−(−4×2)
Multiply the terms
x2−x×2−4x−(−4×2)
Use the commutative property to reorder the terms
x2−2x−4x−(−4×2)
Multiply the numbers
x2−2x−4x−(−8)
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−4x+8
Solution
More Steps
Evaluate
−2x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−2−4)x
Subtract the numbers
−6x
x2−6x+8
Show Solution
Find the roots
x1=2,x2=4
Evaluate
(x−4)(x−2)
To find the roots of the expression,set the expression equal to 0
(x−4)(x−2)=0
Separate the equation into 2 possible cases
x−4=0x−2=0
Solve the equation
More Steps
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=4x−2=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=4x=2
Solution
x1=2,x2=4
Show Solution