Question
Download Solution PDFযদি f(x2 + y2 + z2) = x + y + z – xy – 2yz + 4xz + 3xyz হয়, তাহলে f(1 + 4 + 9) এর মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFf(x2 + y2 + z2) = x + y + z – xy – 2yz + 4xz + 3xyz
f(1 + 4 + 9) = f(12 + 22 + 32)
⇒ 1 + 2 + 3 – (1 × 2) – 2(2 × 3) + 4(1 × 3) + 3(1 × 2 × 3)
⇒ 6 – 2 – 12 + 12 + 18
⇒ 22
∴ f(1 + 4 + 9) এর মান হল 22
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