Create three fractions by replacing the word ‘blank’ in each fraction with a variable or number. You can use the same value or three different replacement values. Explain all the work in simplifying your new addition problem.
3/blank + blank/aˆ2 - blank/aˆ3
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Verified answer
let blank = t
then
3/t + t/a^2 - t/a^3
= 3a^3/ta^3 + at^2/ta^3 - t^2/ta^3
= (3a^3 + at^2 - t^2)/ta^3
= (3a^3 + t^2(a - 1))/ta^3
3/blank + blank/aË2 - blank/aË3
What is the purpose of this question ? Replacing any of those blanks with any number (say 42) will give you three fractions, as would replacing any or all of those blanks with a variable (say x).