Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16c3−8c2
Evaluate
(4c−2)×4c2
Multiply the terms
4c2(4c−2)
Apply the distributive property
4c2×4c−4c2×2
Multiply the terms
More Steps
Evaluate
4c2×4c
Multiply the numbers
16c2×c
Multiply the terms
More Steps
Evaluate
c2×c
Use the product rule an×am=an+m to simplify the expression
c2+1
Add the numbers
c3
16c3
16c3−4c2×2
Solution
16c3−8c2
Show Solution
Factor the expression
8c2(2c−1)
Evaluate
(4c−2)×4c2
Multiply the terms
4c2(4c−2)
Factor the expression
4c2×2(2c−1)
Solution
8c2(2c−1)
Show Solution
Find the roots
c1=0,c2=21
Alternative Form
c1=0,c2=0.5
Evaluate
(4c−2)(4c2)
To find the roots of the expression,set the expression equal to 0
(4c−2)(4c2)=0
Multiply the terms
(4c−2)×4c2=0
Multiply the terms
4c2(4c−2)=0
Elimination the left coefficient
c2(4c−2)=0
Separate the equation into 2 possible cases
c2=04c−2=0
The only way a power can be 0 is when the base equals 0
c=04c−2=0
Solve the equation
More Steps
Evaluate
4c−2=0
Move the constant to the right-hand side and change its sign
4c=0+2
Removing 0 doesn't change the value,so remove it from the expression
4c=2
Divide both sides
44c=42
Divide the numbers
c=42
Cancel out the common factor 2
c=21
c=0c=21
Solution
c1=0,c2=21
Alternative Form
c1=0,c2=0.5
Show Solution