Write in expanded form :
$(3 x + 2 y - z)^{2}$

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Solution

given, $(3 x + 2 y - z)^{2}$

$= [3 x + 2 y + (- z)]^{2}$

$= (3 x)^{2} + (2 y)^{2} + (- z)^{2} + 2 \times 3 x \times 2 y + 2 \times 2 y \times - z + 2 \times 3 x \times - z$

$= 9 x^{2} + 4 y^{2} + z^{2} + 12 x y - 4 y z - 6 x z$

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