Prove the following:-
(i) (x+y)2=x2+2xy+ y2
(ii) (x-y)2 = x2-2xy+y2
(iii) X2-y2=(x+y)(x-y)
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Answered by
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Answer:
i.
we know that ,
(x+y)2
=(x+y)(x+y)
=x(x+y)+y(x+y)
=x2+xy+yx+y2
=x2+2xy+y2
Hence, it is proved that (x+y)2=x2+2xy+y2
ii we know that ,
(x-y)2
=(x-y)(x-y)
=x(x-y)-y(x-y)
=x2-xy-xy+y2
=x2-2xy+y2
Hence, it is proved that (x-y)2=x2-2xy+y2
(iii) X2-y2=(x+y)(x-y)
(x+y)(x-y)=x(x-y)+y(x-y)
= x^2-xy+xy-y^2
= x^2-y^2. proved
Hope it helps you....✌✌
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