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CBSE Class 8 Answered

Factorise
16x⁴-(z-x)⁴
Asked by Shawn | 23 Jan, 2016, 02:28: PM
answered-by-expert Expert Answer
begin mathsize 11px style 16 straight x to the power of 4 minus open parentheses straight z minus straight x close parentheses to the power of 4 equals open parentheses 4 straight x squared close parentheses squared minus open square brackets open parentheses straight z minus straight x close parentheses squared close square brackets squared Using space straight A squared minus straight B squared space formula space for space factorisation comma space we space get open parentheses 4 straight x squared plus open parentheses straight z minus straight x close parentheses squared close parentheses open parentheses 4 straight x squared minus open parentheses straight z minus straight x close parentheses squared close parentheses equals open parentheses 4 straight x squared plus open parentheses straight z minus straight x close parentheses squared close parentheses open parentheses open parentheses 2 straight x close parentheses squared minus open parentheses straight z minus straight x close parentheses squared close parentheses equals open parentheses 4 straight x squared plus straight z squared plus straight x squared minus 2 zx close parentheses open parentheses open parentheses 2 straight x plus straight z minus straight x close parentheses open parentheses 2 straight x minus open parentheses straight z minus straight x close parentheses close parentheses close parentheses equals open parentheses 5 straight x squared plus straight z squared minus 2 zx close parentheses open parentheses 2 straight x plus straight z minus straight x close parentheses open parentheses 2 straight x minus straight z plus straight x close parentheses end style
Answered by satyajit samal | 24 Jan, 2016, 11:44: AM

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