Question

if 2a+3b=15 and
ab=5 then find the value of 4a²+9b²​

Answer 1

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Answer 2

Answer:

115

Step-by-step explanation:

Given :-

ab = 5

2a + 3b = 15

Squaring both sides,

We have , (2a + 3b)^2 = 15^2

Using identity, (a +b) ^2 = a^2 + b^2 + 2ab

(2a)^2 + (3b)^2 + 2(5) = 225

4a^2 + 9b^2 + 10 = 225

4a^2 + 9b^2 = 225 - 10 = 115

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