Q. Simplify. Express your answer as a single fraction in simplest form. 8xy5−9
Identify like terms: Identify the like terms and the need to create a common denominator for the terms.Since 9 can be written as a fraction with a denominator of 1, we can rewrite it with a common denominator of 8xy to combine it with the term 8xy5.
Convert whole number to fraction: Convert the whole number9 to a fraction with the common denominator 8xy.To do this, we multiply 9 by (8xy/8xy), which is equivalent to 1.9×8xy8xy=8xy72xy
Combine fractions with common denominator: Combine the fractions5/8xy and 72xy/8xy.Since they now have a common denominator, we can combine the numerators.8xy5−8xy72xy=8xy5−72xy
Simplify numerator by subtraction: Simplify the numerator by performing the subtraction.5−72xy is already in its simplest form since 5 and 72xy are not like terms.So the fraction remains 8xy5−72xy.
Check for further simplification: Check if the fraction can be simplified further.The numerator and the denominator do not have any common factors other than 1, so the fraction is already in its simplest form.
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