if 2a-3b=15 and ab=5, find the value of 4a^2+9b^2
pls guys help to do this sum....
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Answer:
Required value is 285
Step-by-step explanation:
Given that,
2a - 3b = 15 and ab = 5
On squaring both sides, we get,
(2a - 3b)² = 15²
=> (2a)² - 2*2a*3b + (3b)² = 225
=> 4a² - 12ab + 9b² = 225
=> 4a² + 9b² = 225 + 12ab
=> 4a² + 9b² = 225 + 12x5 [Since ab = 5]
=> 4a² + 9b² = 225 + 60
=> 4a² + 9b² = 285
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