Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−11)(x+9)
Evaluate
x2−2x−99
Rewrite the expression
x2+(9−11)x−99
Calculate
x2+9x−11x−99
Rewrite the expression
x×x+x×9−11x−11×9
Factor out x from the expression
x(x+9)−11x−11×9
Factor out −11 from the expression
x(x+9)−11(x+9)
Solution
(x−11)(x+9)
Show Solution
Find the roots
x1=−9,x2=11
Evaluate
x2−2x−99
To find the roots of the expression,set the expression equal to 0
x2−2x−99=0
Factor the expression
More Steps
Evaluate
x2−2x−99
Rewrite the expression
x2+(9−11)x−99
Calculate
x2+9x−11x−99
Rewrite the expression
x×x+x×9−11x−11×9
Factor out x from the expression
x(x+9)−11x−11×9
Factor out −11 from the expression
x(x+9)−11(x+9)
Factor out x+9 from the expression
(x−11)(x+9)
(x−11)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x−11=0x+9=0
Solve the equation for x
More Steps
Evaluate
x−11=0
Move the constant to the right-hand side and change its sign
x=0+11
Removing 0 doesn't change the value,so remove it from the expression
x=11
x=11x+9=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=11x=−9
Solution
x1=−9,x2=11
Show Solution