Question

Simplify the following polynomial and write the answer in standard form. (9-2x^3+5^2-4x+5) - (-2x^3+2x-3)

Answer 1

The answer is:  " 5x² − 6x + 17 " .
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(9 − 2x³ + 5x² − 4x + 5) − (-2x³ + 2x − 3) =

(9 − 2x³ + 5x² − 4x + 5) − 1(-2x³ + 2x − 3) ;
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-1(-2x³ + 2x − 3)  =  2x³ − 2x + 3 ;
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 9 − 2x³ + 5x² − 4x + 5 + 2x³ − 2x + 3 ;
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  Combine the "like terms" ;
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  +9 + 5 + 3 = 17 ;

  - 2x³ + 2x³ = 0 ;

  - 4x − 2x =  -6x ;

Bring down the:  + 5x²
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And write as:  " 5x² − 6x + 17 " .
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Answer 2

If I am reading the question correctly it would come out to -6x+42  First do all the addition and squaring, then factor in that negative.  You come out to -2x^3 +2x^3-4x-2x+25+5+9+3.  The x^3's cancel, the -x's add to -6x, then all that other adds to 42.