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Question
Write the expanded form:
`(-3x + y + z)^2`
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Solution
`(-3x + y + z)^2 = [(-3x) + y + z]^2`
`=(-3x)^2 + y^2 + z^2 + 2(-3x)y + 2yz + 2(-3x)z`
`[∵(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`= 9x^2 + y^2 + z^2 - 6xy + 2yz - 6xz`
`∴ (-3x + y + z)^2 = 9x^2 + y^2 + z^2 - 6xy + 2xy - 6xz`
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