AUT01-13

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\[ A(x) = x^2 - 10x = x(x-10); \] \[ B(x)=x^2 - 5x = x(x-5); \] \begin{align*} C(x) &= (x+3)(x-2) - (x-2)(2x+1)& \\ &= (x-2)\big[(x+3)-(2x+1)\big]& \\ &=(x-2)(x+3-2x-1)& \\ &=(x-2)(-x+2);& \end{align*} \begin{align*} D(x) &= (x-1)^2 + 4(x-1)(x+5)& \\ &= (x-1)\big[(x-1) + 4(x+5)\big]& \\ &=(x-1)(x-1+4x+20)& \\ &=(x-1)(5x+19).& \end{align*}

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code : 167