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ICSE Class 9 Answered

Help Factorise 
 
x^4  + 9 x^2 y^2  +81 y^4
Asked by tejvarun | 15 Apr, 2016, 05:38: PM
answered-by-expert Expert Answer
begin mathsize 12px style x to the power of 4 plus 9 x squared y squared plus 81 y to the power of 4
equals x to the power of 4 plus 81 y to the power of 4 plus 9 x squared y squared
equals open parentheses x squared close parentheses squared plus open parentheses 9 y squared close parentheses plus 18 x squared y squared minus 9 x squared y squared
equals open parentheses x squared plus 9 y squared close parentheses squared minus open parentheses 3 x y close parentheses squared
equals open parentheses x squared plus 9 y squared plus 3 x y close parentheses open parentheses x squared plus 9 y squared minus 3 x y close parentheses space space space space space space.... open square brackets a squared minus b squared equals open parentheses a plus b close parentheses open parentheses a minus b close parentheses close square brackets end style
Answered by Rashmi Khot | 18 Apr, 2016, 12:22: PM
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