Expand each of the following,using suitable identities: $(-2x + 5y - 3z)^2$

(N/A) To expand $(-2x + 5y - 3z)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.
Here,$a = -2x$,$b = 5y$,and $c = -3z$.
Substituting these values into the identity:
$(-2x + 5y - 3z)^2 = (-2x)^2 + (5y)^2 + (-3z)^2 + 2(-2x)(5y) + 2(5y)(-3z) + 2(-3z)(-2x)$
Calculating each term:
$(-2x)^2 = 4x^2$
$(5y)^2 = 25y^2$
$(-3z)^2 = 9z^2$
$2(-2x)(5y) = -20xy$
$2(5y)(-3z) = -30yz$
$2(-3z)(-2x) = 12zx$
Combining these results,we get:
$4x^2 + 25y^2 + 9z^2 - 20xy - 30yz + 12zx$