Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−10x+9
Evaluate
(x−9)(x−1)
Apply the distributive property
x×x−x×1−9x−(−9×1)
Multiply the terms
x2−x×1−9x−(−9×1)
Any expression multiplied by 1 remains the same
x2−x−9x−(−9×1)
Any expression multiplied by 1 remains the same
x2−x−9x−(−9)
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−9x+9
Solution
More Steps
Evaluate
−x−9x
Collect like terms by calculating the sum or difference of their coefficients
(−1−9)x
Subtract the numbers
−10x
x2−10x+9
Show Solution
Find the roots
x1=1,x2=9
Evaluate
(x−9)(x−1)
To find the roots of the expression,set the expression equal to 0
(x−9)(x−1)=0
Separate the equation into 2 possible cases
x−9=0x−1=0
Solve the equation
More Steps
Evaluate
x−9=0
Move the constant to the right-hand side and change its sign
x=0+9
Removing 0 doesn't change the value,so remove it from the expression
x=9
x=9x−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=9x=1
Solution
x1=1,x2=9
Show Solution