Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
c4−c3
Evaluate
(c−1)(c2×c×1)
Remove the parentheses
(c−1)c2×c×1
Rewrite the expression
(c−1)c2×c
Multiply the terms with the same base by adding their exponents
(c−1)c2+1
Add the numbers
(c−1)c3
Multiply the terms
c3(c−1)
Apply the distributive property
c3×c−c3×1
Multiply the terms
More Steps
Evaluate
c3×c
Use the product rule an×am=an+m to simplify the expression
c3+1
Add the numbers
c4
c4−c3×1
Solution
c4−c3
Show Solution
Find the roots
c1=0,c2=1
Evaluate
(c−1)(c2×c×1)
To find the roots of the expression,set the expression equal to 0
(c−1)(c2×c×1)=0
Multiply the terms
More Steps
Multiply the terms
c2×c×1
Rewrite the expression
c2×c
Use the product rule an×am=an+m to simplify the expression
c2+1
Add the numbers
c3
(c−1)c3=0
Multiply the terms
c3(c−1)=0
Separate the equation into 2 possible cases
c3=0c−1=0
The only way a power can be 0 is when the base equals 0
c=0c−1=0
Solve the equation
More Steps
Evaluate
c−1=0
Move the constant to the right-hand side and change its sign
c=0+1
Removing 0 doesn't change the value,so remove it from the expression
c=1
c=0c=1
Solution
c1=0,c2=1
Show Solution