Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(4−v)(4+v)
Evaluate
16−v2
Rewrite the expression in exponential form
42−v2
Solution
(4−v)(4+v)
Show Solution
Find the roots
v1=−4,v2=4
Evaluate
16−v2
To find the roots of the expression,set the expression equal to 0
16−v2=0
Move the constant to the right-hand side and change its sign
−v2=0−16
Removing 0 doesn't change the value,so remove it from the expression
−v2=−16
Change the signs on both sides of the equation
v2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±16
Simplify the expression
More Steps
Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
v=±4
Separate the equation into 2 possible cases
v=4v=−4
Solution
v1=−4,v2=4
Show Solution