Question
Simplify the expression
−24c12−12c9−96c8
Evaluate
(−2c4−c−8)(3c4×4c4)
Remove the parentheses
(−2c4−c−8)×3c4×4c4
Multiply the terms
(−2c4−c−8)×12c4×c4
Multiply the terms with the same base by adding their exponents
(−2c4−c−8)×12c4+4
Add the numbers
(−2c4−c−8)×12c8
Multiply the terms
12c8(−2c4−c−8)
Apply the distributive property
12c8(−2c4)−12c8×c−12c8×8
Multiply the terms
More Steps

Evaluate
12c8(−2c4)
Multiply the numbers
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Evaluate
12(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−12×2
Multiply the numbers
−24
−24c8×c4
Multiply the terms
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Evaluate
c8×c4
Use the product rule an×am=an+m to simplify the expression
c8+4
Add the numbers
c12
−24c12
−24c12−12c8×c−12c8×8
Multiply the terms
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Evaluate
c8×c
Use the product rule an×am=an+m to simplify the expression
c8+1
Add the numbers
c9
−24c12−12c9−12c8×8
Solution
−24c12−12c9−96c8
Show Solution

Find the roots
c=0
Evaluate
(−2c4−c−8)(3c4×4c4)
To find the roots of the expression,set the expression equal to 0
(−2c4−c−8)(3c4×4c4)=0
Multiply
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Multiply the terms
3c4×4c4
Multiply the terms
12c4×c4
Multiply the terms with the same base by adding their exponents
12c4+4
Add the numbers
12c8
(−2c4−c−8)×12c8=0
Multiply the terms
12c8(−2c4−c−8)=0
Elimination the left coefficient
c8(−2c4−c−8)=0
Separate the equation into 2 possible cases
c8=0−2c4−c−8=0
The only way a power can be 0 is when the base equals 0
c=0−2c4−c−8=0
Solve the equation
More Steps

Evaluate
−2c4−c−8=0
Factor the expression
−(2c4+c+8)=0
Divide both sides
2c4+c+8=0
Calculate
c∈/R
c=0c∈/R
Solution
c=0
Show Solution
