8. Show that:
(1) (4x + 7y)2 – (4x - 7y)2 = 112xy
(ii)
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to you many many happy returns of the day Notun
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Step-by-step explanation:
L.H.S = (4x + 7y)^2 – (4x - 7y)^2
= (4x)^2 + (7y)^2 + 2(4x)(7y) - ((4x)^2 + (7y)^2 - 2(4x)(7y))
= 16x^2 + 49y^2 + 56xy - ( 16x^2 + 49y^2 - 56xy )
= 16x^2 + 49y^2 + 56xy - 16x^2 - 49y^2 + 56xy
= 112xy = R.H.S
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