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Add: (44w)/(6w-7)+(8w+42)/(7-6w) Reduce your answer to lowest terms

User Taulant
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Final answer:

To add the given fractions, simplify the expressions using a common denominator. Then, combine like terms and reduce the expression to lowest terms.

Step-by-step explanation:

To add the given fractions, simplify the expressions first. The common denominator for both fractions is (6w-7)(7-6w). Multiplying the numerators of each fraction by the denominator of the other, we get:

(44w)(7-6w) + (8w+42)(6w-7)

Expanding and collecting like terms, we get:

308w - 264w^2 + 48w^2 - 56w + 336

Combining the like terms, we have:

-216w^2 + 252w + 336

Next, we reduce the expression to lowest terms by dividing every term by the greatest common factor, which is 12. This gives us the final answer:

-18w^2 + 21w + 28

User Ozik  Abdullaev
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