Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−1)(x+9)
Evaluate
x2+8x−9
Rewrite the expression
x2+(9−1)x−9
Calculate
x2+9x−x−9
Rewrite the expression
x×x+x×9−x−9
Factor out x from the expression
x(x+9)−x−9
Factor out −1 from the expression
x(x+9)−(x+9)
Solution
(x−1)(x+9)
Show Solution
Find the roots
x1=−9,x2=1
Evaluate
x2+8x−9
To find the roots of the expression,set the expression equal to 0
x2+8x−9=0
Factor the expression
More Steps
Evaluate
x2+8x−9
Rewrite the expression
x2+(9−1)x−9
Calculate
x2+9x−x−9
Rewrite the expression
x×x+x×9−x−9
Factor out x from the expression
x(x+9)−x−9
Factor out −1 from the expression
x(x+9)−(x+9)
Factor out x+9 from the expression
(x−1)(x+9)
(x−1)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x−1=0x+9=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=1x+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=1x=−9
Solution
x1=−9,x2=1
Show Solution