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Expansion of (a - b)^2

If a2 – b2 = ...

Question

If $a^{2} - b^{2} = 72$ and (a - b) = 4 then (a + b) is ________

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Solution

$a^{2} - b^{2} = 72$

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

So,

$(a + b) (a - b) = 72$

$(a + b) 4 = 72$

$(a + b) = \frac{72}{4} = 18$

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