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ICSE Class 9 Answered

How much should be added to (2a+b) : (2a-b) to give (a+b)(a+b) : (a-b)(a-b)?
Asked by Kristen | 03 Mar, 2018, 09:48: AM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 2 straight a plus straight b over denominator 2 straight a minus straight b end fraction plus straight x equals fraction numerator begin display style open parentheses straight a plus straight b close parentheses squared end style over denominator open parentheses straight a minus straight b close parentheses squared end fraction straight x equals fraction numerator begin display style open parentheses straight a plus straight b close parentheses squared end style over denominator open parentheses straight a minus straight b close parentheses squared end fraction minus fraction numerator begin display style 2 straight a plus straight b end style over denominator begin display style 2 straight a minus straight b end style end fraction straight x equals fraction numerator straight a squared plus 2 ab plus straight b squared over denominator straight a squared minus 2 ab plus straight b squared end fraction minus fraction numerator begin display style 2 straight a plus straight b end style over denominator begin display style 2 straight a minus straight b end style end fraction straight x equals fraction numerator begin display style open parentheses straight a squared plus 2 ab plus straight b squared close parentheses open parentheses 2 straight a minus straight b close parentheses minus open parentheses 2 straight a plus straight b close parentheses open parentheses straight a squared minus 2 ab plus straight b squared close parentheses end style over denominator open parentheses straight a minus straight b close parentheses squared begin display style open parentheses 2 straight a minus straight b close parentheses end style end fraction straight x equals fraction numerator 2 straight a cubed minus straight a squared straight b plus 4 straight a squared straight b minus 2 ab squared plus 2 ab squared minus straight b cubed minus open parentheses 2 straight a cubed minus 4 straight a squared straight b plus 2 ab squared plus straight a squared straight b minus 2 ab squared plus straight b cubed close parentheses over denominator open parentheses straight a minus straight b close parentheses squared open parentheses 2 straight a minus straight b close parentheses end fraction straight x equals fraction numerator begin display style up diagonal strike 2 straight a cubed end strike minus straight a squared straight b plus 4 straight a squared straight b minus up diagonal strike 2 ab squared end strike plus up diagonal strike 2 ab squared end strike minus straight b cubed minus up diagonal strike 2 straight a cubed end strike plus 4 straight a squared straight b minus up diagonal strike 2 ab squared end strike minus straight a squared straight b plus up diagonal strike 2 ab squared end strike minus straight b cubed end style over denominator begin display style open parentheses straight a minus straight b close parentheses squared open parentheses 2 straight a minus straight b close parentheses end style end fraction straight x equals fraction numerator 6 straight a squared straight b minus 2 straight b cubed over denominator open parentheses straight a minus straight b close parentheses squared open parentheses 2 straight a minus straight b close parentheses end fraction straight x equals fraction numerator 2 straight b open parentheses 3 straight a squared minus straight b squared close parentheses over denominator open parentheses straight a minus straight b close parentheses squared open parentheses 2 straight a minus straight b close parentheses end fraction straight x equals fraction numerator 2 straight b open parentheses straight a plus straight b close parentheses open parentheses straight a minus straight b close parentheses over denominator open parentheses straight a minus straight b close parentheses squared open parentheses 2 straight a minus straight b close parentheses end fraction straight x equals fraction numerator 2 straight b open parentheses straight a plus straight b close parentheses over denominator open parentheses straight a minus straight b close parentheses begin display style open parentheses 2 straight a minus straight b close parentheses end style end fraction end style
Answered by Sneha shidid | 03 Mar, 2018, 07:28: PM

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