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Write the following expression as a polynomial: (2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5).

 Jun 30, 2019
 #1
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(2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5).

 

\((2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5)\\ =(x+1)[(2x^2+3x+7)-(x^2+4x-63)+(3x-14)(x+5)]\\ =(x+1)[(2x^2+3x+7)-(x^2+4x-63)+(3x^2+x-70)]\\ =(x+1)[(2x^2+3x+7-x^2-4x+63+3x^2+x-70]\\ =(x+1)[4x^2+140]\\ =4(x+1)[x^2+35]\\ =4[x^3+35x+x^2+35]\\ =4x^3+140x+4x^2+140\\\)

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 Jun 30, 2019

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