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CBSE Class 9 Answered

Simplify and factorise (a+b+c)2 - (a-b-c)2 + 4b2 - 4c2
Asked by Vikas | 24 Mar, 2017, 05:09: PM
answered-by-expert Expert Answer

begin mathsize 16px style left parenthesis straight a plus straight b plus straight c right parenthesis squared space minus space left parenthesis straight a minus straight b minus straight c right parenthesis squared space plus space 4 straight b squared space space minus space 4 straight c squared space equals straight a squared plus straight b squared plus straight c squared plus 2 ab plus 2 bc plus 2 ac minus left square bracket straight a squared plus straight b squared plus straight c squared minus 2 ab plus 2 bc minus 2 ac right square bracket plus space 4 straight b squared minus 4 straight c squared space equals straight a squared plus straight b squared plus straight c squared plus 2 ab plus 2 bc plus 2 ac minus straight a squared minus straight b squared minus straight c squared plus 2 ab minus 2 bc plus 2 ac plus space 4 straight b squared minus 4 straight c squared space equals 2 ab plus 2 bc plus 2 ac plus 2 ab minus 2 bc plus 2 ac plus space 4 straight b squared space minus 4 straight c squared space equals 4 ab plus 4 ac plus space 4 straight b squared space minus 4 straight c squared space equals 4 left parenthesis straight b space minus straight c right parenthesis left parenthesis straight b plus straight c right parenthesis plus 4 straight a left parenthesis straight b plus straight c right parenthesis equals 4 left parenthesis straight b plus straight c right parenthesis left parenthesis straight b minus straight c minus straight a right parenthesis end stylebegin mathsize 16px style left parenthesis straight a plus straight b plus straight c right parenthesis squared space minus space left parenthesis straight a minus straight b minus straight c right parenthesis squared space plus space 4 straight b squared space space minus space 4 straight c squared space equals straight a squared plus straight b squared plus straight c squared plus 2 ab plus 2 bc plus 2 ac minus left square bracket straight a squared plus straight b squared plus straight c squared minus 2 ab plus 2 bc minus 2 ac right square bracket plus space 4 straight b squared minus 4 straight c squared space equals straight a squared plus straight b squared plus straight c squared plus 2 ab plus 2 bc plus 2 ac minus straight a squared minus straight b squared minus straight c squared plus 2 ab minus 2 bc plus 2 ac plus space 4 straight b squared minus 4 straight c squared space equals 2 ab plus 2 bc plus 2 ac plus 2 ab minus 2 bc plus 2 ac plus space 4 straight b squared space minus 4 straight c squared space equals 4 ab plus 4 ac plus space 4 straight b squared space minus 4 straight c squared space equals 4 left parenthesis straight b space minus straight c right parenthesis left parenthesis straight b plus straight c right parenthesis plus 4 straight a left parenthesis straight b plus straight c right parenthesis equals 4 left parenthesis straight b plus straight c right parenthesis left parenthesis straight b minus straight c minus straight a right parenthesis end style

Answered by | 24 Mar, 2017, 05:17: PM

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