Mathematics
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(3x - 4y + 5z)2
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Answer
Using the formula,
[∵ (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz]
⇒ (3x - 4y + 5z)2 = (3x)2 + (4y)2 + (5z)2 - 2 (3x) (4y) - 2 (4y) (5z) + 2 (5z) (3x)
= 9x2 + 16y2 + 25z2 - 24xy - 40yz + 30xz
Hence, (3x - 4y + 5z)2 = 9x2 + 16y2 + 25z2 - 24xy - 40yz + 30xz.
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