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{:[" a) "P(x)+Q(x)-S(x)],[=(2x^(3)-9x+2)+(3x^(2)+x-3)-(x^(3)-2x^(2)+x+7)]:}

P(x)+Q(x)−S(x)=(2x3−9x+2)+(3x2+x−3)−(x3−2x2+x+7) \begin{array}{l} P(x)+Q(x)-S(x) \\ =\left(2 x^{3}-9 x+2\right)+\left(3 x^{2}+x-3\right)-\left(x^{3}-2 x^{2}+x+7\right)\end{array}

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Q. P(x)+Q(x)−S(x)=(2x3−9x+2)+(3x2+x−3)−(x3−2x2+x+7) \begin{array}{l} P(x)+Q(x)-S(x) \\ =\left(2 x^{3}-9 x+2\right)+\left(3 x^{2}+x-3\right)-\left(x^{3}-2 x^{2}+x+7\right)\end{array}
  1. Simplify Expression: Simplify the expression P(x)+Q(x)−S(x)P(x) + Q(x) - S(x).\newlineCalculation: (2x3−9x+2)+(3x2+x−3)−(x3−2x2+x+7)(2x^3 - 9x + 2) + (3x^2 + x - 3) - (x^3 - 2x^2 + x + 7)\newlineCombine like terms:\newline2x3+3x2−x3−2x2−9x+x+2−3−72x^3 + 3x^2 - x^3 - 2x^2 - 9x + x + 2 - 3 - 7\newline= (2x3−x3)+(3x2−2x2)+(−9x+x)+(2−3−7)(2x^3 - x^3) + (3x^2 - 2x^2) + (-9x + x) + (2 - 3 - 7)\newline= x3+x2−8x−8x^3 + x^2 - 8x - 8

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