Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3c5−3c4
Evaluate
(3c−3)c4
Multiply the terms
c4(3c−3)
Apply the distributive property
c4×3c−c4×3
Multiply the terms
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Evaluate
c4×3c
Use the commutative property to reorder the terms
3c4×c
Multiply the terms
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Evaluate
c4×c
Use the product rule an×am=an+m to simplify the expression
c4+1
Add the numbers
c5
3c5
3c5−c4×3
Solution
3c5−3c4
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Factor the expression
3c4(c−1)
Evaluate
(3c−3)c4
Multiply the terms
c4(3c−3)
Factor the expression
c4×3(c−1)
Solution
3c4(c−1)
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Find the roots
c1=0,c2=1
Evaluate
(3c−3)(c4)
To find the roots of the expression,set the expression equal to 0
(3c−3)(c4)=0
Calculate
(3c−3)c4=0
Multiply the terms
c4(3c−3)=0
Separate the equation into 2 possible cases
c4=03c−3=0
The only way a power can be 0 is when the base equals 0
c=03c−3=0
Solve the equation
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Evaluate
3c−3=0
Move the constant to the right-hand side and change its sign
3c=0+3
Removing 0 doesn't change the value,so remove it from the expression
3c=3
Divide both sides
33c=33
Divide the numbers
c=33
Divide the numbers
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Evaluate
33
Reduce the numbers
11
Calculate
1
c=1
c=0c=1
Solution
c1=0,c2=1
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