A minus b minus c ka whole square


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Formula of a minus b minus c whole square

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Answer:

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

Step-by-step explanation:

Expansion of (a-b-c)²

=[a+(-b)+(-c)]²

/*We know the algebraic identity:

\boxed {(x+y+z)^{2}\\=x^{2}+y^{2}+z^{2}+2xy+2yz+2zx}*/

= a²+(-b)²+(-c)²+2a(-b)+2(-b)(-c)+2(-c)a

= a²+b²+c²-2ab+2bc-2ca

Therefore,

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

•••♪


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