Question
Simplify the expression
3c3−9c2
Evaluate
(c−3)×3c2
Multiply the terms
3c2(c−3)
Apply the distributive property
3c2×c−3c2×3
Multiply the terms
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Evaluate
c2×c
Use the product rule an×am=an+m to simplify the expression
c2+1
Add the numbers
c3
3c3−3c2×3
Solution
3c3−9c2
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Find the roots
c1=0,c2=3
Evaluate
(c−3)(3c2)
To find the roots of the expression,set the expression equal to 0
(c−3)(3c2)=0
Multiply the terms
(c−3)×3c2=0
Multiply the terms
3c2(c−3)=0
Elimination the left coefficient
c2(c−3)=0
Separate the equation into 2 possible cases
c2=0c−3=0
The only way a power can be 0 is when the base equals 0
c=0c−3=0
Solve the equation
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Evaluate
c−3=0
Move the constant to the right-hand side and change its sign
c=0+3
Removing 0 doesn't change the value,so remove it from the expression
c=3
c=0c=3
Solution
c1=0,c2=3
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