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CBSE Class 9 Answered

If x+y+z =9, then find the value of (3-x)3 + (3-y)3 + (3-z)3 -3(3-x) (3-y) (3-z)?
Asked by nisha_vini29 | 24 Mar, 2017, 05:51: PM
answered-by-expert Expert Answer

begin mathsize 16px style left parenthesis 3 minus straight x right parenthesis cubed space plus space left parenthesis 3 minus straight y right parenthesis cubed space plus space left parenthesis 3 minus straight z right parenthesis cubed space minus 3 left parenthesis 3 minus straight x right parenthesis space left parenthesis 3 minus straight y right parenthesis space left parenthesis 3 minus straight z right parenthesis Here comma space take space straight a equals 3 minus straight x comma space straight b equals 3 minus straight y comma space straight c equals 3 minus straight z using space formula space for space straight a cubed plus straight b cubed plus straight c cubed minus 3 abc equals open parentheses straight a plus straight b plus straight c close parentheses open parentheses straight a squared plus straight b squared plus straight c squared minus ab minus bc minus ca close parentheses But comma straight a plus straight b plus straight c space you space will space get space it space as space 0 space using space straight x plus straight y plus straight z equals 9. Answer space is space 0. end style

Answered by | 24 Mar, 2017, 06:23: PM

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