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If (1+x+x^2+____x^100) (1-x+x^2-x^3+___+x^150) =a_0+a_1x+a_2x^2+____ +a_250 x^250 Then the value of a_0+a_2 + a_4+____ + a_250 is equal to ___

Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :<a href="https://interviewquestions.tuteehub.com/tag/put-11868" style="font-weight:bold;" target="_blank" title="Click to know more about PUT">PUT</a> x=1 we get `<a href="https://interviewquestions.tuteehub.com/tag/101-266127" style="font-weight:bold;" target="_blank" title="Click to know more about 101">101</a> <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 1 = a_0+a_1+a_2`____+`a_(250)` <br/> Put x=-1 we get `1xx151=a_0-a_1+a_2` ___`a_250` <br/> `252=2(a_0+a_2+____a_250)` <br/> `a_0+a_2+a_4`+___+`a_250`= <a href="https://interviewquestions.tuteehub.com/tag/126-271371" style="font-weight:bold;" target="_blank" title="Click to know more about 126">126</a></body></html>


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