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ICSE Class 8 Answered

divide (x to the power 6-y to the power 6) by ( x-y)
question image
Asked by biratiminji75 | 28 Aug, 2020, 07:30: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator straight x to the power of 6 minus space straight y to the power of 6 over denominator straight x minus straight y end fraction
equals fraction numerator open parentheses straight x cubed close parentheses squared minus open parentheses straight y cubed close parentheses squared over denominator straight x minus straight y end fraction
equals fraction numerator open parentheses straight x cubed minus straight y cubed close parentheses open parentheses straight x cubed plus straight y cubed close parentheses over denominator straight x minus straight y end fraction
equals space fraction numerator open parentheses straight x minus straight y close parentheses open parentheses straight x squared plus space straight y squared plus space xy space close parentheses open parentheses straight x cubed plus straight y cubed close parentheses over denominator open parentheses straight x minus straight y close parentheses end fraction
equals open parentheses straight x squared plus space straight y squared plus space xy space close parentheses open parentheses straight x cubed plus straight y cubed close parentheses end style
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