# Combine (12/13)^2-1/13*1 1/14

(1213)2-113⋅1114
Convert 1114 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(1213)2-113⋅(1+114)
Write 1 as a fraction with a common denominator.
(1213)2-113⋅(1414+114)
Combine the numerators over the common denominator.
(1213)2-113⋅14+114
(1213)2-113⋅1514
(1213)2-113⋅1514
(1213)2-113⋅1514
Simplify each term.
Apply the product rule to 1213.
122132-113⋅1514
Raise 12 to the power of 2.
144132-113⋅1514
Raise 13 to the power of 2.
144169-113⋅1514
Multiply -113⋅1514.
Multiply 1514 and 113.
144169-1514⋅13
Multiply 14 by 13.
144169-15182
144169-15182
144169-15182
To write 144169 as a fraction with a common denominator, multiply by 1414.
144169⋅1414-15182
To write -15182 as a fraction with a common denominator, multiply by 1313.
144169⋅1414-15182⋅1313
Write each expression with a common denominator of 2366, by multiplying each by an appropriate factor of 1.
Multiply 144169 and 1414.
144⋅14169⋅14-15182⋅1313
Multiply 169 by 14.
144⋅142366-15182⋅1313
Multiply 15182 and 1313.
144⋅142366-15⋅13182⋅13
Multiply 182 by 13.
144⋅142366-15⋅132366
144⋅142366-15⋅132366
Combine the numerators over the common denominator.
144⋅14-15⋅132366
Simplify the numerator.
Multiply 144 by 14.
2016-15⋅132366
Multiply -15 by 13.
2016-1952366
Subtract 195 from 2016.
18212366
18212366
Combine (12/13)^2-1/13*1 1/14

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