Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−9)(x−1)
Evaluate
x2−10x+9
Rewrite the expression
x2+(−1−9)x+9
Calculate
x2−x−9x+9
Rewrite the expression
x×x−x−9x+9
Factor out x from the expression
x(x−1)−9x+9
Factor out −9 from the expression
x(x−1)−9(x−1)
Solution
(x−9)(x−1)
Show Solution
Find the roots
x1=1,x2=9
Evaluate
x2−10x+9
To find the roots of the expression,set the expression equal to 0
x2−10x+9=0
Factor the expression
More Steps
Evaluate
x2−10x+9
Rewrite the expression
x2+(−1−9)x+9
Calculate
x2−x−9x+9
Rewrite the expression
x×x−x−9x+9
Factor out x from the expression
x(x−1)−9x+9
Factor out −9 from the expression
x(x−1)−9(x−1)
Factor out x−1 from the expression
(x−9)(x−1)
(x−9)(x−1)=0
When the product of factors equals 0,at least one factor is 0
x−9=0x−1=0
Solve the equation for x
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 for x
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