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

Answer

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

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