Question

expand (x+2y+4z) square​

Answer 1

Hope this answers the question

Answer 2

$\LARGE\star\mathfrak{\underline{\underline{\red{answer: }}}}$

ғᴏʀᴍᴜʟᴀ :-

$(a + b + c) {}^{2} = a {}^{2} + b {}^{2} + 2ab \: + 2bc + 2ca$

$a = x \\ b = 2y \\ c = 4z$

ʙʏ ᴘᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs ɪɴ ғᴏʀᴍᴜʟᴀ,

ᴡᴇ ɢᴇᴛ :-

$(x + 2y + 4z) {}^{2} \\ = x {}^{2} + (2y) {}^{2} + (4z) {}^{2} +2(x)(2y) + 2(2y)(4z) + 2(4z)(x) \\ = \underline{\underline{x {}^{2} + 4y {}^{2} + 16z {}^{2} + 4xy + 16yz + 8zx}}$