1.

If(a+bx ) ^ ( -3 )=(1 ) /(27) +(1 ) /(3)x+…,thentheorderedpair(a, b )equalsto

Answer»

` ( 3 ,- 27) `
`(1,(1 ) /(3)) `
` (3 ,9) `
` (3,-9 ) `

Solution : ` ( a+ BX ) ^(-3) =(1 )/(27)+ (X)/(3) + … `
`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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