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Mathematics

Find the square of:

2x - 3y + z

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Answer

(2x - 3y + z)2

Using the formula

(∵ (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz)

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

= 4x2 + 9y2 + z2 - 12xy - 6yz + 4xz

Hence, (2x - 3y + z)2 = 4x2 + 9y2 + z2 - 12xy - 6yz + 4xz

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