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If(a+bx ) ^ ( -3 )=(1 ) /(27) +(1 ) /(3)x+…,thentheorderedpair(a, b )equalsto |
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Answer» ` ( 3 ,- 27) ` `a ^( -3)( 1+(bx ) /(a)) ^(-3)= (1 )/(27)+(x) /(3)+ … ` `(1 ) /(a ^(3))[ 1 - ""^ 3c_1((bx )/(a )) +….] =(1 ) /(27)+(x) /(3) ` `(1)/(a ^3 )-""^ 3c _ 1(bx ) /(a ^ 4)+ ... = (1 )/(27)+(x ) /(3) ` `(1 )/(a ^ 3 ) = (1 )/(27 ) "" [ BECAUSEA =3 ] ` `-""^3c _ 1(bx ) /(a ^ 4 )=(x ) /(3) ` `therefore-3 ((B))/( 3 ^ 4 ) =(1 )/(3) ` ` b= -9 ` |
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