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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

દ્વિપદી પ્રમેય

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

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

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

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

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

અહીં, $straight a space equals space 3 straight x comma space straight b space equals space minus 2 space અન ે space straight n space equals space 6 space.$

આ કિંમતો દ્વિપદી પ્રમેયમાં મૂકતાં,

$open parentheses 3 straight x space minus space 2 close parentheses to the power of 6 space equals space open parentheses table row 6 row 0 end table close parentheses open parentheses 3 x close parentheses to the power of 6 open parentheses negative 2 close parentheses to the power of 0 space plus space open parentheses table row 6 row 1 end table close parentheses open parentheses 3 x close parentheses to the power of 5 space open parentheses negative 2 close parentheses to the power of 1 space plus space open parentheses table row 6 row 2 end table close parentheses open parentheses 3 x close parentheses to the power of 4 open parentheses negative 2 close parentheses squared space plus space open parentheses table row 6 row 3 end table close parentheses open parentheses 3 x close parentheses cubed open parentheses negative 2 close parentheses cubed space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space plus space open parentheses table row 6 row 4 end table close parentheses open parentheses 3 x close parentheses squared space open parentheses negative 2 close parentheses to the power of 4 space plus space open parentheses table row 6 row 5 end table close parentheses open parentheses 3 x close parentheses to the power of 1 open parentheses negative 2 close parentheses to the power of 5 space plus space open parentheses table row 6 row 6 end table close parentheses open parentheses 3 x close parentheses to the power of 0 open parentheses negative 2 close parentheses to the power of 6 space space space space space space space space space space space space space space space space space space space space equals space 1 space times space open parentheses 729 x to the power of 6 close parentheses space times space 1 space plus space 6 space times space open parentheses 243 x to the power of 5 close parentheses space times space open parentheses negative 2 close parentheses space plus space 15 space times space open parentheses 81 x to the power of 4 close parentheses space times space 4 space plus space 20 space times space open parentheses 27 x cubed close parentheses space times space open parentheses negative 8 close parentheses space plus space 15 space times space open parentheses 9 x squared close parentheses space times space 16 space space space space space space space space space space space space space space space space space space space space equals space 729 x to the power of 6 space minus space 2916 x to the power of 5 space plus space 4860 x to the power of 4 space minus space 4320 x cubed space plus space 2160 x squared space minus 576 x space space plus space 64$

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