Question

expand the equation (x-y-z) 2
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Answer 1

Answer:

$(x - y - z) {}^{2} \\ = x {}^{2} + ( - y) {}^{2} + ( - z) {}^{2} + \\ { 2 \times x \times ( - y)} \: \\ \: + 2 \times ( - y) \times ( - z) + 2 \times x \times ( - z) \\ \\ x {}^{2} + y {}^{2} + z {}^{2} - 2xy + 2yz - 2xz$

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Answer 2

Step-by-step explanation:

using the identity,

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

$here \: a = x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:b = - y \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: c = - z$

$= {x}^{2} + { - y}^{2} + { - z}^{2} + 2(x)( - y) + 2( - y)( - z) + 2( - z)(x)$

${x}^{2} + y + z - 2xy + 2yz - 2xz$

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