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यदि a, b, c,d गु. श्रे. में हों, तो सिद...

यदि a, b, c,d गु. श्रे. में हों, तो सिद्ध करो कि
(i) `(a+c) (c+d)=(b+c) (b+d),`
(ii) `(b-c)^(2)=(b+c)(a+d)-(b+d)(a+c),`
(iii) `(a^(2)+b^(2)+c^(2))(b^(2)+c^(2)+d^(2))=(ab+bc+cd)^(2),`
(iv) `(a+b+c+d)^(2)=(a+b)^(2)+(c+d)^(2)+2(b+c)^(2).`

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