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प्रश्न
Simplify:
(x + y - z)2 + (x - y + z)2
उत्तर
(x + y - z)2 + (x - y + z)2
= x2 + y2 + z2 + 2(x)(y) + 2(y)(-z) + 2(x)(-z) + x2 + y2 + z2 + 2(x)(-y) + 2(-y) + 2(x)(z)
= x2 + y2 + z2 + 2xy - 2yz - 2xz + x2 + y2 + z2 - 2xy - 2yz + 2xz
= 2x2 + 2y2 + 2z2 - 4yz.
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