If $a = 1$ , $b = - 1$ and $c = 0$ , find the value of expression $(a^{2} - b^{2}) + (c^{2} - b^{2}) + (a^{2} - c^{2})$

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Solution

$a = 1, b = - 1, c = 0$
$(a^{2} - b^{2}) + (c^{2} - b^{2}) + (a^{2} - c^{2})$
$= (1^{2} - (- 1)^{2}) + (0^{2} - (- 1)^{2}) + (1^{2} - 0^{2})$
$= (1 - 1) + (0 - 1) + (1 - 0)$
$= 0 - 1 + 1 = 0$

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