SUP03-03

retour

a. \[\begin{aligned} &(4x+4)\underline{(x+3)} - 3\underline{(x+3)}(x-2)& \\ =&(x+3)\big[(4x+5) - (x-2)\big]& \\ =&(x+3)(4x+5-x+2)& \\ =&(x+3)(3x+7).& \end{aligned}\]

b. \[\begin{aligned} &\phantom{=}(x+3)\underline{(2x+3)}- \underline{(2x+3)}& \\ &=(2x+3)\big[(x+3) - 1\big]& \\ &=(2x+3)(x+3-1)& \\ &=(2x+3)(x+2).& \end{aligned}\]

c. \[\begin{aligned} &\phantom{=}\underline{(3y-5)}^2 + 2\underline{(3y - 5)}& \\ &=(3y-5)\big[(3y-5) + 2\big]& \\ &=(3y-5)(3y-5 + 2)& \\ &=(3y-5)(\underline{3}y-\underline{3})& \\ &=3(3y-5)(y - 1).& \end{aligned}\]

d. \[8x^4 - 6x^3 + 4x^2 = 2x^2(4x^2 - 3x + 2).\]

retour

code : 180