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  • if a-b =4 and ab=45 ,find the value of a^3-b^3 .

if a-b =4 and ab=45 ,find the value of a^3-b^3 .

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solution : we have ,

               a^3-b^3=(a-b)(a^2+ab+b^2)

          Rightarrow a^3-b^3=(a-b)(a^2-2ab+b^2+2ab+ab)      [adding and subtracting 2ab in the second bracket]

          Rightarrow a^3-b^3=(a-b)left (a-b)^2+3ab ight

         Rightarrow a^3-b^3=4 imes(4^2+3 imes45)=4 imes(16+135)=4 imes151=604

Posted by

Deependra Verma

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