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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 ×\times (3x) ×\times (4y) - 2 ×\times (4y) ×\times (5z) + 2 ×\times (5z) ×\times (3x)

= 9x2 + 16y2 + 25z2 - 24xy - 40yz + 30xz

Hence, (3x - 4y + 5z)2 = 9x2 + 16y2 + 25z2 - 24xy - 40yz + 30xz.

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