Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
c4(1−c)(1+c)
Evaluate
c4−c6
Factor out c4 from the expression
c4(1−c2)
Solution
More Steps
Evaluate
1−c2
Rewrite the expression in exponential form
12−c2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−c)(1+c)
c4(1−c)(1+c)
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Find the roots
c1=−1,c2=0,c3=1
Evaluate
c4−c6
To find the roots of the expression,set the expression equal to 0
c4−c6=0
Factor the expression
c4(1−c2)=0
Separate the equation into 2 possible cases
c4=01−c2=0
The only way a power can be 0 is when the base equals 0
c=01−c2=0
Solve the equation
More Steps
Evaluate
1−c2=0
Move the constant to the right-hand side and change its sign
−c2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−c2=−1
Change the signs on both sides of the equation
c2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±1
Simplify the expression
c=±1
Separate the equation into 2 possible cases
c=1c=−1
c=0c=1c=−1
Solution
c1=−1,c2=0,c3=1
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