2
If x = 11, then the value of x5 – 12x4 + 12x3 – 12x2 + 12x – 1 is
- A5
- B10
- C15
- D20
Answer not set
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0
CCommunity
Given,
x = 11
⇒ x – 11 = 0
Given expression is,
x5 – 12x4 + 12x3 – 12x2 + 12x – 1
= x5 – 11x4 – x4 + 11x3 + x3 – 11x2 – x2 + 11x + x – 1
= x4(x – 11) – x3(x – 11) + x2(x – 11) – x (x – 11) + (x – 11) + 10
Putting x – 11 = 0,
= 0 – 0 + 0 – 0 + 0 + 10
= 10
x = 11
⇒ x – 11 = 0
Given expression is,
x5 – 12x4 + 12x3 – 12x2 + 12x – 1
= x5 – 11x4 – x4 + 11x3 + x3 – 11x2 – x2 + 11x + x – 1
= x4(x – 11) – x3(x – 11) + x2(x – 11) – x (x – 11) + (x – 11) + 10
Putting x – 11 = 0,
= 0 – 0 + 0 – 0 + 0 + 10
= 10
0
CCommunity
10