Expand the following using suitable identity
i) $(x - 4 y + 3 z)^{2}$

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Solution

$({a + b + c}^{2}) = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 a c$
${(x - 4 y + 3 z)}^{2} = x^{2} + {(- 4 y)}^{2} + (3 z)^{2} + 2 (x) (- 4 y) + 2 (- 4 y) (3 z) + 2 (x) (3 z)$
$= x^{2} + 16 y^{2} + 9 z^{2} - 8 x y - 24 y z + 6 x z$

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