Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
z2−6z+8
Evaluate
(z−4)(z−2)
Apply the distributive property
z×z−z×2−4z−(−4×2)
Multiply the terms
z2−z×2−4z−(−4×2)
Use the commutative property to reorder the terms
z2−2z−4z−(−4×2)
Multiply the numbers
z2−2z−4z−(−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
z2−2z−4z+8
Solution
More Steps
Evaluate
−2z−4z
Collect like terms by calculating the sum or difference of their coefficients
(−2−4)z
Subtract the numbers
−6z
z2−6z+8
Show Solution
Find the roots
z1=2,z2=4
Evaluate
(z−4)(z−2)
To find the roots of the expression,set the expression equal to 0
(z−4)(z−2)=0
Separate the equation into 2 possible cases
z−4=0z−2=0
Solve the equation
More Steps
Evaluate
z−4=0
Move the constant to the right-hand side and change its sign
z=0+4
Removing 0 doesn't change the value,so remove it from the expression
z=4
z=4z−2=0
Solve the equation
More Steps
Evaluate
z−2=0
Move the constant to the right-hand side and change its sign
z=0+2
Removing 0 doesn't change the value,so remove it from the expression
z=2
z=4z=2
Solution
z1=2,z2=4
Show Solution