SUP03-06

retour

\[\begin{aligned} A(x)&=x^2 - 16& \\ &=x^2 - 4^2& \\ &=\boxed{(x-4)(x+4).}& \end{aligned}\] \[\begin{aligned} B(x)&=\underline{x}(4x+3) + (2x-1)\underline{x}& \\ &=x\left[(4x+3) + (2x-1)\right]& \\ &=x(4x+3+2x-1)& \\ &=\boxed{x(6x+2)}& \\ &=\boxed{2x(3x+1)}.& \end{aligned}\] \[\begin{aligned} C(x)&=25x^2 - 9& \\ &=(5x)^2 - 3^2& \\ &=\boxed{(5x-3)(5x+3).}& \end{aligned}\] \begin{align*} D(x)&=(x+1)^2 - 9& \\ &=(x+1)^2 - 3^2& \\ &=\left[(x+1) - 3\right]\left[(x+1)+3\right]& \\ &=(x+1-3)(x+1+3)& \\ &=\boxed{(x-2)(x+4).}& \end{align*} \begin{align*} E(x)&=\underline{(x-4)}(2x+7) + \underline{(x-4)}(x+1)& \\ &=(x-4)\left[(2x+7) + (x+1)\right]& \\ &=(x-4)(2x+7+x+1)& \\ &=\boxed{(x-4)(3x+8).}& \end{align*} \begin{align*} F(x)&=\underline{(2x+3)^2}+(x-5)\underline{(2x+3)}& \\ &=(2x+3)\left[(2x+3) + (x-5)\right]& \\ &=(2x+3)(2x+3+x-5)& \\ &=\boxed{(2x+3)(3x - 2).}& \end{align*}

retour

code : 183