1.

यद‌ि `p^(3)-q^(3)=(p-q){(p-q)^(2)-xpq}` है `x` का मान हैA. -1B. 3C. 1D. -3

Answer» Correct Answer - D
`p^(3)-q^(3)=(p-1){(p-q)^(2)-xpq}`
`impliesp^(3)-q^(3)=(p-q)[p^(2)+q^(2)-2pq`
`-xpq]`
`implies p^(3)-q^(3)-(p-q)[p^(2)+q^(2)-2pq`
`-(-3)pq]`
`implies p^(3)-q^(3)=(p-q)(p^(2)+q^(2)+pq)`
`implies` So `x=-3`
`implies` because `a^(3)-b^(2)-(a-b)`
`(a^(2)+b^(2)+ab)`


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