Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(a−2)(a+1)
Evaluate
a2−a−2
Rewrite the expression
a2+(1−2)a−2
Calculate
a2+a−2a−2
Rewrite the expression
a×a+a−2a−2
Factor out a from the expression
a(a+1)−2a−2
Factor out −2 from the expression
a(a+1)−2(a+1)
Solution
(a−2)(a+1)
Show Solution
Find the roots
a1=−1,a2=2
Evaluate
a2−a−2
To find the roots of the expression,set the expression equal to 0
a2−a−2=0
Factor the expression
More Steps
Evaluate
a2−a−2
Rewrite the expression
a2+(1−2)a−2
Calculate
a2+a−2a−2
Rewrite the expression
a×a+a−2a−2
Factor out a from the expression
a(a+1)−2a−2
Factor out −2 from the expression
a(a+1)−2(a+1)
Factor out a+1 from the expression
(a−2)(a+1)
(a−2)(a+1)=0
When the product of factors equals 0,at least one factor is 0
a−2=0a+1=0
Solve the equation for a
More Steps
Evaluate
a−2=0
Move the constant to the right-hand side and change its sign
a=0+2
Removing 0 doesn't change the value,so remove it from the expression
a=2
a=2a+1=0
Solve the equation for a
More Steps
Evaluate
a+1=0
Move the constant to the right-hand side and change its sign
a=0−1
Removing 0 doesn't change the value,so remove it from the expression
a=−1
a=2a=−1
Solution
a1=−1,a2=2
Show Solution