Question

Find the value of 2(a²+b²) if (a+b)=3 and (a-b)=2.

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Answer 1

Step-by-step explanation:

Given that :

a + b = 3 & ab = 2

NOW,

we know that :

(a + b)² = a² + b² +2ab

NOW,

(a + b) = 3

[On SQUARING both side]

(a + b)² = 3²

a² + b² + 2ab = 9

=> a² + b² + 2×2 = 9

=> a² + b² = 9 - 4

=> (a² + b²) = 5