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).
+118609 (2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5).
\((2x^2+3x+7)(x+1)-(x+1)(x^2+4x-63)+(3x-14)(x+1)(x+5)\\ =(x+1)[(2x^2+3x+7)-(x^2+4x-63)+(3x-14)(x+5)]\\ =(x+1)[(2x^2+3x+7)-(x^2+4x-63)+(3x^2+x-70)]\\ =(x+1)[(2x^2+3x+7-x^2-4x+63+3x^2+x-70]\\ =(x+1)[4x^2+140]\\ =4(x+1)[x^2+35]\\ =4[x^3+35x+x^2+35]\\ =4x^3+140x+4x^2+140\\\)
