factorise following trinomial
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2
Step-by-step explanation:
The answer is solved in the picture attached.
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Answered by
164
Solution :-
→ (x²/4y²) - (2/3) + (4y²/9x²)
This can be written as
→ (x/2y)² - (2/3) + (2y/3x)²
or,
→ (x/2y)² - {2 * (x/2y) * (2y/3x)} + (2y/3x)²
Now, comparing it with a² - 2ab + b² = (a + b)² we get,
- a = (x/2y)
- b = (2y/3x)
Therefore,
→ {(x/2y) - (2y/3x)}²
→ {(x/2y) - (2y/3x)}{(x/2y) - (2y/3x)} (Ans.)
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