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Question : 68 of 100
Marks:
+1,
-0
Solution:
Given expression,
‌ +‌ +‌ =‌ −‌ +‌| (y2−z2) |
| (x2−z2)(y2−z2) |
x4(y2−z2)−y4(x2−z2) =‌| +z4(x2−y2) |
| (x2−y2)(x2−z2)(y2−z2) |
x4(y2−z2)−y4x2+y4z2 =‌| +z4x2−z4y2 |
| (x2−y2)(x2−z2)(y2−z2) |
x4(y2−z2)−y4x2+z4x2 =‌| +y4z2−z4y2 |
| (x2−y2)(x2−z2)(y2−z2) |
x4(y2−z2)−x2(y4−z4) =‌| +y2z2(y2−z2) |
| (x2−y2)(x2−z2)(y2−z2) |
x4(y2−z2)−x2(y2−z2) =‌| (y2+z2)+y2z2(y2−z2) |
| (x2−y2)(x2−z2)(y2−z2) |
(y2−z2)[x4−x2y2 =‌| −x2z2+y2z2] |
| (x2−y2)(x2−z2)(y2−z2) |
=‌| [x4−x2z2−x2y2+y2z2] |
| (x2−y2)(x2−z2) |
=‌| x2(x2−z2)−y2(x2−z2) |
| (x2−y2)(x2−z2) |
=‌| (x2−z2)(x2−y2) |
| (x2−y2)(x2−z2) |
=1
Hence, the given expression is equal to 1 .
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