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Given
sin²6x - sin²4x = sin2x sin10x
L.H.S.
sin²6x - sin²4x
using
{ sin²A - sin²B = sin(A+B) Sin(A-B) }
here A = 6x and B= 4x
so
=> sin(6x + 4x ) sin(6x - 4x)
=> sin10x sin2x
=> sin2x sin10x = R.H.S.
L.H.S. = R.H.S.
Hope it may Help you.✌️
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