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Class 10 Class 12

દ્વિપદી પ્રમેય

open parentheses 3 straight x space minus space 2 close parentheses to the power of 6

open parentheses 1 space minus space 2 straight x close parentheses to the power of 4

વિસ્તરણ કરો :
$open parentheses straight x squared space plus space 1 over straight x close parentheses to the power of 5 space comma space open parentheses x space not equal to space 0 close parentheses$

અહીં, $straight a space equals space straight x squared comma space space straight b space equals space 1 over straight x space અન ે space straight n space equals space 5$

આ કિંમતો દ્વિપદી પ્રમેયમાં મૂકતાં,

$open parentheses straight x squared space plus space 1 over straight x close parentheses to the power of 5 equals space open parentheses table row 5 row 0 end table close parentheses space open parentheses x squared close parentheses to the power of 5 space open parentheses 1 over x close parentheses to the power of 0 space plus space open parentheses table row 5 row 1 end table close parentheses space open parentheses x squared close parentheses to the power of 4 space open parentheses 1 over x close parentheses to the power of 1 space plus space open parentheses table row 5 row 2 end table close parentheses space open parentheses x squared close parentheses cubed space open parentheses 1 over x close parentheses squared space plus space open parentheses table row 5 row 3 end table close parentheses space open parentheses x squared close parentheses squared space open parentheses 1 over x close parentheses cubed space plus space open parentheses table row 5 row 4 end table close parentheses open parentheses x squared close parentheses to the power of 1 space open parentheses 1 over x close parentheses to the power of 4 space plus space open parentheses table row 5 row 5 end table close parentheses space open parentheses x squared close parentheses to the power of 0 space open parentheses 1 over x close parentheses to the power of 5 equals space 1 times space x to the power of 10 times space 1 space plus space 5 space times space x to the power of 8 space times space 1 over x space plus space 10 space times space x to the power of 6 space end exponent times space 1 over x squared space plus space 10 space times space x to the power of 4 space times space space fraction numerator 1 over denominator x cubed space end fraction space plus space 5 space times space space x squared space space times space 1 over x to the power of 4 space plus space 1 space times space 1 space times space 1 over x to the power of 5 equals space bold italic x to the power of bold 10 bold space bold plus bold space bold 5 bold italic x to the power of bold 7 bold space bold plus bold space bold 10 bold space bold italic x to the power of bold 4 bold space bold plus bold space bold 10 bold italic x bold space bold plus bold space fraction numerator bold 5 over denominator bold x to the power of bold 2 bold space end fraction bold space bold plus bold space bold 1 over bold x to the power of bold 5$

વિસ્તરણ કરો :
$open parentheses 1 space plus space x space plus space x squared close parentheses to the power of 4$

open parentheses straight x space minus fraction numerator 1 over denominator 2 straight x end fraction close parentheses to the power of 5 space comma space open parentheses x space not equal to space 0 close parentheses

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