If (x – 8)3 + (2x + 16)3 + (2x - 13)3 = 3(x - 8)(2x + 16)(2x – 13), then find the value of x.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1
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Understanding |
Application |
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If a3 + b3 + c3 = 3abc then a + b + c = 0 Given: (x – 8)3 + (2x + 16)3 + (2x - 13)3 = 3(x - 8)(2x + 16)(2x – 13) |
Hence, x – 8 + 2x + 16 + 2x – 13 = 0 ⇒ 5x = 5 ⇒ x = 1 |