Question
Simplify the expression
360000cm−8640m
Evaluate
(25×10−c6)×18m(100c−20c)
Multiply the numbers
(250−c6)×18m(100c−20c)
Subtract the terms
More Steps

Simplify
250−c6
Reduce fractions to a common denominator
c250c−c6
Write all numerators above the common denominator
c250c−6
c250c−6×18m(100c−20c)
Subtract the terms
More Steps

Simplify
100c−20c
Collect like terms by calculating the sum or difference of their coefficients
(100−20)c
Subtract the numbers
80c
c250c−6×18m×80c
Multiply the terms
c250c−6×1440mc
Multiply the terms
More Steps

Multiply the terms
c250c−6×1440
Multiply the terms
c(250c−6)×1440
Multiply the terms
c1440(250c−6)
c1440(250c−6)×mc
Multiply the terms
c1440(250c−6)m×c
Cancel out the common factor c
1440(250c−6)m×1
Multiply the terms
1440(250c−6)m
Multiply the terms
More Steps

Evaluate
1440(250c−6)
Apply the distributive property
1440×250c−1440×6
Multiply the numbers
360000c−1440×6
Multiply the numbers
360000c−8640
(360000c−8640)m
Solution
360000cm−8640m
Show Solution

Find the excluded values
c=0
Evaluate
(25×10−c6)(18m)(100c−20c)
Solution
c=0
Show Solution

Factor the expression
2880m(125c−3)
Evaluate
(25×10−c6)×18m(100c−20c)
Multiply the numbers
(250−c6)×18m(100c−20c)
Subtract the terms
More Steps

Simplify
250−c6
Reduce fractions to a common denominator
c250c−c6
Write all numerators above the common denominator
c250c−6
c250c−6×18m(100c−20c)
Subtract the terms
More Steps

Simplify
100c−20c
Collect like terms by calculating the sum or difference of their coefficients
(100−20)c
Subtract the numbers
80c
c250c−6×18m×80c
Multiply the terms
c250c−6×1440mc
Multiply the terms
More Steps

Multiply the terms
c250c−6×1440
Multiply the terms
c(250c−6)×1440
Multiply the terms
c1440(250c−6)
c1440(250c−6)×mc
Multiply the terms
c1440(250c−6)m×c
Cancel out the common factor c
1440(250c−6)m×1
Multiply the terms
1440(250c−6)m
Factor the expression
1440×2(125c−3)m
Solution
2880m(125c−3)
Show Solution
