Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
v2−v
Evaluate
v×1×v−1×v
Multiply the terms
More Steps
Multiply the terms
v×1×v
Rewrite the expression
v×v
Multiply the terms
v2
v2−1×v
Solution
v2−v
Show Solution
Factor the expression
v(v−1)
Evaluate
v×1×v−1×v
Multiply the terms
More Steps
Multiply the terms
v×1×v
Rewrite the expression
v×v
Multiply the terms
v2
v2−1×v
Any expression multiplied by 1 remains the same
v2−v
Rewrite the expression
v×v−v
Solution
v(v−1)
Show Solution
Find the roots
v1=0,v2=1
Evaluate
v×1×v−1×v
To find the roots of the expression,set the expression equal to 0
v×1×v−1×v=0
Multiply the terms
More Steps
Multiply the terms
v×1×v
Rewrite the expression
v×v
Multiply the terms
v2
v2−1×v=0
Any expression multiplied by 1 remains the same
v2−v=0
Factor the expression
More Steps
Evaluate
v2−v
Rewrite the expression
v×v−v
Factor out v from the expression
v(v−1)
v(v−1)=0
When the product of factors equals 0,at least one factor is 0
v=0v−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=0v=1
Solution
v1=0,v2=1
Show Solution