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What algebraic expression must be subtracted from the sum of 9x^2+4x-6 and 5x^3+2x^2-2x-5 to give 5x^3+6x^2+1x-16 as a result?

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David W. | Experienced ProfExperienced Prof
4.4 4.4 (47 lesson ratings) (47)
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                             9x2      +         4x     -    6
            5x3    +      2x2     -          2x      -   5                                        -     
      -------------------------------------------------------      
            5x3    +    11x2     +         2x      -   11                              [sum]
            5x3    +      6x2     +         1x      -   16                      [subtract]
     -------------------------------------------------------
                             5x2      +         x       +     5
David W. | I'll help you understand math!I'll help you understand math!
4.9 4.9 (63 lesson ratings) (63)
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(9x+ 4x - 6) + (5x+ 2x2 - 2x - 5) = 5x+ 11x2 + 2x - 11
 
So, if, say 9 - 5 = 4, 9 - 4 = 5, right?
 
(5x3 + 11x2 + 2x - 11) - (5x+ 6x2 + x - 16) = 5x2 + x + 5