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CBSE Class 9 Answered

Without actually calculating the cubes, find the value of 753 - 253 - 503.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Let x = 75, y = -25, z = -50

x + y + z = 75 - 25 - 50 = 0

We know, if x + y + z = 0 then x3 + y3 + z3 = 3xyz

753 - 253 - 503 = 3(75) (-25) (-50)

= 281250

Answered by | 04 Jun, 2014, 03:23: PM
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