Question
Simplify the expression
21dk−53d
Evaluate
d×52k−d×53+d×101k
Use the commutative property to reorder the terms
52dk−d×53+d×101k
Use the commutative property to reorder the terms
52dk−53d+d×101k
Use the commutative property to reorder the terms
52dk−53d+101dk
Solution
More Steps

Evaluate
52dk+101dk
Collect like terms by calculating the sum or difference of their coefficients
(52+101)dk
Add the numbers
More Steps

Evaluate
52+101
Reduce fractions to a common denominator
5×22×2+101
Multiply the numbers
102×2+101
Write all numerators above the common denominator
102×2+1
Multiply the numbers
104+1
Add the numbers
105
Cancel out the common factor 5
21
21dk
21dk−53d
Show Solution

Factor the expression
101d(5k−6)
Evaluate
d×52k−d×53+d×101k
Use the commutative property to reorder the terms
52dk−d×53+d×101k
Use the commutative property to reorder the terms
52dk−53d+d×101k
Use the commutative property to reorder the terms
52dk−53d+101dk
Add the terms
More Steps

Evaluate
52dk+101dk
Collect like terms by calculating the sum or difference of their coefficients
(52+101)dk
Add the numbers
More Steps

Evaluate
52+101
Reduce fractions to a common denominator
5×22×2+101
Multiply the numbers
102×2+101
Write all numerators above the common denominator
102×2+1
Multiply the numbers
104+1
Add the numbers
105
Cancel out the common factor 5
21
21dk
21dk−53d
Rewrite the expression
101d×5k−101d×6
Solution
101d(5k−6)
Show Solution
