Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
50c3−5c4
Evaluate
5c2×c(10−c)
Multiply the terms with the same base by adding their exponents
5c2+1(10−c)
Add the numbers
5c3(10−c)
Apply the distributive property
5c3×10−5c3×c
Multiply the numbers
50c3−5c3×c
Solution
More Steps
Evaluate
c3×c
Use the product rule an×am=an+m to simplify the expression
c3+1
Add the numbers
c4
50c3−5c4
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Find the roots
c1=0,c2=10
Evaluate
5c2×c(10−c)
To find the roots of the expression,set the expression equal to 0
5c2×c(10−c)=0
Multiply
More Steps
Multiply the terms
5c2×c(10−c)
Multiply the terms with the same base by adding their exponents
5c2+1(10−c)
Add the numbers
5c3(10−c)
5c3(10−c)=0
Elimination the left coefficient
c3(10−c)=0
Separate the equation into 2 possible cases
c3=010−c=0
The only way a power can be 0 is when the base equals 0
c=010−c=0
Solve the equation
More Steps
Evaluate
10−c=0
Move the constant to the right-hand side and change its sign
−c=0−10
Removing 0 doesn't change the value,so remove it from the expression
−c=−10
Change the signs on both sides of the equation
c=10
c=0c=10
Solution
c1=0,c2=10
Show Solution