Final answer:
To simplify ((3/7)+(1/6))², convert each fraction to an equivalent fraction with a common denominator of 42, add them to get 25/42, and then square the result to get 625/1764.
Step-by-step explanation:
Simplify the Following Expression
To simplify the expression ((3/7)+(1/6))², first, find a common denominator so you can add the fractions. The lowest common denominator for 7 and 6 is 42. Rewrite the fractions as equivalent fractions with a denominator of 42:
- (3/7) becomes (3×6)/(7×6) = 18/42
- (1/6) becomes (1×7)/(6×7) = 7/42
Now, add the two fractions:
18/42 + 7/42 = 25/42
Then, square the result to get the final answer:
(25/42)² = 625/1764
This is the simplest form of the expression squared without further reducible factors.