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CBSE Class 8 Answered

IF y=5-(25)1/3-(5)1/3 then find the value of y^3-15(y)^2+60y+40? please answer this question.. thanks...
Asked by Ramesh | 12 Oct, 2018, 11:01: AM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space straight y space equals space 5 space minus space cube root of 25 space minus space cube root of 5 rightwards double arrow straight y space minus 5 space equals space minus open parentheses 5 squared close parentheses to the power of 1 third end exponent space minus space 5 to the power of 1 third end exponent space space space.... left parenthesis straight i right parenthesis Taking space cube space on space both space the space sides comma rightwards double arrow open parentheses straight y space minus space 5 close parentheses cubed space equals space open square brackets negative open parentheses 5 squared close parentheses to the power of 1 third end exponent space minus space 5 to the power of 1 third end exponent close square brackets rightwards double arrow straight y cubed space minus space 15 straight y squared space plus space 75 straight y space minus space 125 space equals space open square brackets negative open parentheses 5 squared close parentheses space minus space 5 space plus space 3 left parenthesis 5 right parenthesis to the power of 1 third end exponent left parenthesis 5 right parenthesis to the power of 1 third end exponent space left parenthesis space minus 5 space to the power of 2 over 3 end exponent space minus space 5 space to the power of 1 third end exponent right parenthesis close square brackets space space...... left parenthesis straight a space minus space straight b right parenthesis cubed space equals space straight a cubed space minus space 3 straight a squared straight b space plus space 3 ab squared space minus space straight b cubed rightwards double arrow straight y cubed space minus space 15 straight y squared space plus space 75 straight y space minus space 125 space equals space minus 30 space plus space 15 left parenthesis straight y space minus space 5 right parenthesis space space space space space space space.... from space left parenthesis straight i right parenthesis solve space it rightwards double arrow straight y cubed space minus space 15 straight y squared space plus space 60 straight y space minus 40 space equals space 60 end style
Answered by Yasmeen Khan | 12 Oct, 2018, 12:27: PM

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