SUP03-02

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\[\begin{aligned} A(x) &= \pmb{(x-5)} (x+2) + \pmb{(x-5)}(x-7)& \\ &=(x-5)\left[(x+2)+(x-7)\right]& \\ &=(x-5)(x+2+x-7)& \\ &=(x-5)(2x-5);& \end{aligned}\] \[\begin{aligned} B(x) &= \pmb{x}(x+2) + 3\pmb{x}& \\ &=x\left[(x+2) + 3\right]& \\ &=x(x+2+3)& \\ &=x(x+5);& \end{aligned}\] \[\begin{aligned} C(x) &= (x+2)\pmb{(x+1)} - 2\pmb{(x+1)}& \\ &=(x+1)\left[(x+2) - 2\right]& \\ &=(x+1)x;& \end{aligned}\] \[\begin{aligned} D(x) &= \pmb{(x+3)}^2 - (x+1)\pmb{(x+3)}& \\ &=(x+3)\left[(x+3) - (x+1)\right]& \\ &=(x+3)(x+3-x-1)& \\ &=2(x+3);& \end{aligned}\] \[\begin{aligned} E(x) &= 2\pmb{x(x+3)} + \pmb{x(x+3)}(x+2)& \\ &=x(x+3)[2 + (x+2)]& \\ &=x(x+3)(x+4).& \end{aligned}\]

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code : 179