Evaluate 111³,using a suitable identity

Asked by prabhakaranA.I.P.S | 8th Jul, 2018, 07:50: PM

Expert Answer:

begin mathsize 16px style 111 cubed space equals left parenthesis 100 space plus space 11 right parenthesis cubed
Since comma space left parenthesis space straight a space plus space straight b right parenthesis cubed space equals space straight a cubed space plus space 3 straight a squared straight b space plus space 3 ab squared space plus space straight b cubed
rightwards double arrow space left parenthesis 100 space plus space 11 right parenthesis cubed space equals space 100 cubed space plus space 3 space cross times space 100 squared space cross times 11 space plus space 3 space cross times space 100 space cross times space 11 squared space plus space 11 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 equals space 1000000 space plus space 330000 space plus space 36300 space plus space 1331
space space space space space space space space space space space space space space space space space space space space space space space space equals space space 1367631 end style

Answered by Yasmeen Khan | 10th Jul, 2018, 11:34: AM

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