Question
Download Solution PDFSimplify x4 - 15x3 + 15x2 - 15x + 40; given x = 14.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The expression
x4 - 15x3 + 15x2 - 15x + 40
x=14
Concept used:
Putting the values
Calculation:
After putting the values
x4 - 15x3 + 15x2 - 15x + 40
⇒ (14)4 - 15×(14)3 + 15×(14)2 - 15×14 + 40
⇒ 38416-41,160+2940-210+40
⇒ 26
Hence the correct option is 26.
Shortcut Trick
x4 - 15x3 + 15x2 - 15x + 40
⇒ (14)4 - 15 × (14)3 + 15×(14)2 - 15×14 + 40
⇒ (14)4 - (14 + 1) × (14)3 + (14 + 1)(14)2 - (14 + 1) 14 + 40
⇒ (14)4 - (14)4 - (14)3 + 143 + (14)2 - 142 - 14 + 40
⇒ 26
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