Please answer this 2 question

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Bhargav Rao asked Apr 24, 2022

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4 votes

Please answer this 2 question

Mathematics
high-school

Bhargav Rao asked Apr 24, 2022

by Bhargav Rao

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1 Answer

14 votes

Answer:

Explanation:

$2x^(99)+3x^(98)+2x^(97)+3x^(96)+.......+2x+3 = [2x^(99)+2x^(97)+...2x]+[3x^(98)+3x^(96)+......3]\\\\=2x*[x^(98)+x^(96)+...+1]+3[x^(98)+x{96}+....1]\\\\= [x^(98)+x^(96)+..+x^(2).+1](2x+3)\\\\=( [x^(98)+x^(94)+...+x^(2)]+[x^(96)+x^(92)+.......+1])*(2x+3)\\\\=(x^(2)*[x^(96)+x^(92)+.......+1]+[x^(96)+x^(92)+.......+1])*(2x+3)\\\\=[x^(96)+x^(92)+.......+1](x^(2)+1)(2x+3)$