Question
Expand using appropriate identity: $(-2 x+5 y-3 z)^2$

Answer

$(-2 x+5 y-3 z)^2$
$=\{(-2 x)+5 y+(-3 z)\}^2$
$=(-2 x)^2+(5 y)^2+(-3 z)^2+2(-2 x)(5 y)+2(5 y)(-3 z)+2(-3 z)(-2 x)$
$=4 x^2+25 y^2+9 z^2-20 x y-30 y z+12 z x$

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