InterviewSolution
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InterviewSolution
| 1. |
Verify-x3+y3=(x+y)(x2-xy+y2) |
| Answer» We know that(x - y)3 = x3 - y3 - 3xy(x - y)|Using Identity VII⇒ x3 - y3 = (x - y)3 + 3xy(x - y)x3 - y3 = (x - y){(x - y)2 + 3xy}⇒ x3 - y3 = (x - y)(x2 - 2xy + y2 + 3xy)|\xa0⇒ x3 + y3=(x+y)(x2-xy+y2) | |