Question
Factor the expression
Factor
(v−8)(v+2)
Evaluate
v2−6v−16
Rewrite the expression
v2+(2−8)v−16
Calculate
v2+2v−8v−16
Rewrite the expression
v×v+v×2−8v−8×2
Factor out v from the expression
v(v+2)−8v−8×2
Factor out −8 from the expression
v(v+2)−8(v+2)
Solution
(v−8)(v+2)
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Find the roots
Find the roots of the algebra expression
v1=−2,v2=8
Evaluate
v2−6v−16
To find the roots of the expression,set the expression equal to 0
v2−6v−16=0
Factor the expression
More Steps
Evaluate
v2−6v−16
Rewrite the expression
v2+(2−8)v−16
Calculate
v2+2v−8v−16
Rewrite the expression
v×v+v×2−8v−8×2
Factor out v from the expression
v(v+2)−8v−8×2
Factor out −8 from the expression
v(v+2)−8(v+2)
Factor out v+2 from the expression
(v−8)(v+2)
(v−8)(v+2)=0
When the product of factors equals 0,at least one factor is 0
v−8=0v+2=0
Solve the equation for v
More Steps
Evaluate
v−8=0
Move the constant to the right-hand side and change its sign
v=0+8
Removing 0 doesn't change the value,so remove it from the expression
v=8
v=8v+2=0
Solve the equation for v
More Steps
Evaluate
v+2=0
Move the constant to the right-hand side and change its sign
v=0−2
Removing 0 doesn't change the value,so remove it from the expression
v=−2
v=8v=−2
Solution
v1=−2,v2=8
Show Solution