Mathematics
By using standard formulae, expand the following:
(2x - 3y + 4z)2
Expansions
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Answer
(2x - 3y + 4z)2 = [(2x) + (-3y) + (4z)]2
= (2x)2 + (-3y)2 + (4z)2 + 2 [(2x)(-3y) + (-3y)(4z) + (4z)(2x)]
= 4x2 + 9y2 + 16z2 + 2[-6xy - 12yz + 8xz]
= 4x2 + 9y2 + 16z2 - 12xy - 24yz + 16xz
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