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(a-b)^2 Expansion and Visualisation

If a-b=1 an...

Question

If $a - b = 1$ and $a b = 12$ , find the value of $(a^{2} + b^{2})$ .

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Solution

Given that, $a - b = 1$ and $a b = 12$

$a^{2} + b^{2} = (a - b)^{2} + 2 a b$

$= (1)^{2} + 2 (12)$

$= 1 + 24$

$= 25$

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