Question
Download Solution PDFIf x = b + c, y = c - a, z = a - b, then find the value of x2 + y2 + z2 - 2xy - 2xz + 2yz.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x = b + c, y = c - a, z = a - b
Formula used:
x2 + y2 + z2 - 2xy - 2xz + 2yz. = (-x + y + z)2
Calculation:
Lets put the values of x, y, z in above equation,
=> (-x + y + z)2 = (-(b+c) + (c-a) + (a-b))2
=> (-b - c + c -a + a - b)2
=> (-2b)2
=> 4b2
Hence, the correct answer is '4b2'.Last updated on Jun 2, 2025
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