Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−9x+18
Evaluate
(x−6)(x−3)
Apply the distributive property
x×x−x×3−6x−(−6×3)
Multiply the terms
x2−x×3−6x−(−6×3)
Use the commutative property to reorder the terms
x2−3x−6x−(−6×3)
Multiply the numbers
x2−3x−6x−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−3x−6x+18
Solution
More Steps
Evaluate
−3x−6x
Collect like terms by calculating the sum or difference of their coefficients
(−3−6)x
Subtract the numbers
−9x
x2−9x+18
Show Solution
Find the roots
x1=3,x2=6
Evaluate
(x−6)(x−3)
To find the roots of the expression,set the expression equal to 0
(x−6)(x−3)=0
Separate the equation into 2 possible cases
x−6=0x−3=0
Solve the equation
More Steps
Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=6x−3=0
Solve the equation
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=6x=3
Solution
x1=3,x2=6
Show Solution