Math, asked by surajitkundu, 6 months ago

if 2a-3b=15 and ab=5, find the value of 4a^2+9b^2
pls guys help to do this sum....​

Answers

Answered by pansumantarkm
1

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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