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Numbers in General Form

a2 + 2b2 - 3c...

Question

$a^{2} + 2 b^{2} - 3 c^{2}$ ; $w h e n a = 3, b = 0, c = 2$

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Solution

$a^{2} + 2 b^{2} - 3 c^{2}$ at $(a = 3, b = 0, c = 2)$
$\Rightarrow (3)^{2} + 2 (0)^{2} - 3 (2)^{2}$
$\Rightarrow 3^{2} - 3 (2)^{2}$
$\Rightarrow 3^{2} - 3 (2)^{2}$
$\Rightarrow 3 [3 - 2^{2}]$
$\Rightarrow 3 [3 - 4] \Rightarrow 3 (- 1) \Rightarrow - 3$
$∴ a^{2} + 2 b^{2} - 3 a c^{2} = - 3$ at $(a = 3, b = 0, c = 2)$

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