2) ( 1/2x + 3 ) ( 2x^3 – 6x^2 + 4x + 10 )

2) ( 1/2x + 3 ) ( 2x^3 – 6x^2 + 4x + 10 )

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  1. ( 1/2x + 3 ) ( 2x^3 – 6x^2 + 4x + 10 )

    =($\frac{x}{2}$ + 3)(2x³-6x²+4x+10)

    =$\frac{3x+18}{6}$ . (2x³-6x²+4x+10)

    =$\frac{6x^4-18x^3+12^2+30x+36x^3-108x^2+72x+180}{6}$

    =$\frac{6x^4+18x^3-96x^2+102x+180}{6}$

     =$\frac{6.(x^4+3x^3-16x^2+17x+30}{6}$

    =$x^{4}$+3x³-16x²+17x+30

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  2. `(1/2x+3)(2x^3-6x^2+4x+10)`

    `=1/2x.2x^3-1/2x.6x^2+1/2x.4x+1/2x.10+3.2x^3-3.6x^2+3.4x+3.10`

    `=x^4-3x^3+2x^2+5x+6x^3-18x^2+12x+30`

    `=x^4+(6x^3-3x^3)+(2x^2-18x^2)+(5x+12x)+30`

    `=x^4+3x^3-16x^2+17x+30`

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