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Write the following in the expanded form...

Write the following in the expanded form: `(-3x+y+z)^2` (ii) `(m+2n-5p)^2`

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(i) `(-3x+y+z)^2`
Using the identity `(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca`:
`=(−3x)^2+y^2+z^2+2(−3x)(y)+2yz+2z(−3x)`
`=9x^2+y^2+z^2−6xy+2yz−6zx`

(ii) `(m+2n-5p)^2`
Using the identity `(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca`:
`=m^2+(2n)^2+(−5n)^2+2(m)(2n)+2(2n)(−5p)+2(−5p)(m)`
`=m^2+4n^2+25p^2+4mn−20np−10p\m`
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