Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
9(v−3)(v+1)
Evaluate
9v2−18v−27
Rewrite the expression
9v2−9×2v−9×3
Factor out 9 from the expression
9(v2−2v−3)
Solution
More Steps
Evaluate
v2−2v−3
Rewrite the expression
v2+(1−3)v−3
Calculate
v2+v−3v−3
Rewrite the expression
v×v+v−3v−3
Factor out v from the expression
v(v+1)−3v−3
Factor out −3 from the expression
v(v+1)−3(v+1)
Factor out v+1 from the expression
(v−3)(v+1)
9(v−3)(v+1)
Show Solution
Find the roots
v1=−1,v2=3
Evaluate
9v2−18v−27
To find the roots of the expression,set the expression equal to 0
9v2−18v−27=0
Factor the expression
More Steps
Evaluate
9v2−18v−27
Rewrite the expression
9v2−9×2v−9×3
Factor out 9 from the expression
9(v2−2v−3)
Factor the expression
More Steps
Evaluate
v2−2v−3
Rewrite the expression
v2+(1−3)v−3
Calculate
v2+v−3v−3
Rewrite the expression
v×v+v−3v−3
Factor out v from the expression
v(v+1)−3v−3
Factor out −3 from the expression
v(v+1)−3(v+1)
Factor out v+1 from the expression
(v−3)(v+1)
9(v−3)(v+1)
9(v−3)(v+1)=0
Divide the terms
(v−3)(v+1)=0
When the product of factors equals 0,at least one factor is 0
v−3=0v+1=0
Solve the equation for v
More Steps
Evaluate
v−3=0
Move the constant to the right-hand side and change its sign
v=0+3
Removing 0 doesn't change the value,so remove it from the expression
v=3
v=3v+1=0
Solve the equation for v
More Steps
Evaluate
v+1=0
Move the constant to the right-hand side and change its sign
v=0−1
Removing 0 doesn't change the value,so remove it from the expression
v=−1
v=3v=−1
Solution
v1=−1,v2=3
Show Solution