Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
c(c−4)(c+4)
Evaluate
c3−16c
Factor out c from the expression
c(c2−16)
Solution
More Steps
Evaluate
c2−16
Rewrite the expression in exponential form
c2−42
Use a2−b2=(a−b)(a+b) to factor the expression
(c−4)(c+4)
c(c−4)(c+4)
Show Solution
Find the roots
c1=−4,c2=0,c3=4
Evaluate
c3−16c
To find the roots of the expression,set the expression equal to 0
c3−16c=0
Factor the expression
c(c2−16)=0
Separate the equation into 2 possible cases
c=0c2−16=0
Solve the equation
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Evaluate
c2−16=0
Move the constant to the right-hand side and change its sign
c2=0+16
Removing 0 doesn't change the value,so remove it from the expression
c2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±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
c=±4
Separate the equation into 2 possible cases
c=4c=−4
c=0c=4c=−4
Solution
c1=−4,c2=0,c3=4
Show Solution