Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
c5−9c
Evaluate
c5−c×9
Solution
c5−9c
Show Solution
Factor the expression
c(c2−3)(c2+3)
Evaluate
c5−c×9
Use the commutative property to reorder the terms
c5−9c
Factor out c from the expression
c(c4−9)
Solution
More Steps
Evaluate
c4−9
Rewrite the expression in exponential form
(c2)2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(c2−3)(c2+3)
c(c2−3)(c2+3)
Show Solution
Find the roots
c1=−3,c2=0,c3=3
Alternative Form
c1≈−1.732051,c2=0,c3≈1.732051
Evaluate
c5−c×9
To find the roots of the expression,set the expression equal to 0
c5−c×9=0
Use the commutative property to reorder the terms
c5−9c=0
Factor the expression
c(c4−9)=0
Separate the equation into 2 possible cases
c=0c4−9=0
Solve the equation
More Steps
Evaluate
c4−9=0
Move the constant to the right-hand side and change its sign
c4=0+9
Removing 0 doesn't change the value,so remove it from the expression
c4=9
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±49
Simplify the expression
More Steps
Evaluate
49
Write the number in exponential form with the base of 3
432
Reduce the index of the radical and exponent with 2
3
c=±3
Separate the equation into 2 possible cases
c=3c=−3
c=0c=3c=−3
Solution
c1=−3,c2=0,c3=3
Alternative Form
c1≈−1.732051,c2=0,c3≈1.732051
Show Solution