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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,x+\,4)\;(\,5+\,2\,y) = $ ?
$\,5\,\,x +\,2\,\,x\,y +\,20 +\,8\,\,y$ $\,2\,\,x\,y +\,20$ $\,15\,\,x^2\,y^2 +\,20$ $\,6\,\,x +\,3\,\,x\,y +\,9 +\,6\,\,y$
Question 2 :
$(\,x+\,2)\;(\,5\,x+\,3) = $ ?
$\,5\,\,x^2 +\,13\,\,x +\,6$ $\,6\,\,x^2 +\,11\,\,x +\,5$ $\,18\,\,x +\,6$ $\,5\,\,x^2 +\,6$
Question 3 :
$(\,t+\,1)\;(\,1+\,x) = $ ?
$\,\,t +\,\,t\,x +\,1 +\,\,x$ $\,3\,\,t^2\,x^2 +\,1$ $\,\,t\,x +\,1$ $\,2\,\,t +\,2\,\,t\,x +\,2 +\,2\,\,x$
Question 4 :
$(\,3+\,t)\;(\,4+\,t) = $ ?
$\,\,t^2 +\,7\,\,t +\,12$ $\,2\,\,t^2 +\,9\,\,t +\,7$ $\,8\,\,t +\,12$ $\,\,t^2 +\,12$
Question 5 :
$(\,a+\,6)\;(\,2\,b\,-1) = $ ?
$\,2\,\,a\,b \,-\,\,a \,-12\,\,b +\,6$ $\,-2\,\,a\,b \,-\,\,a \,-12\,\,b \,-6$ $\,2\,\,a\,b +\,\,a \,-12\,\,b \,-6$ $\,2\,\,a\,b \,-\,\,a +\,12\,\,b \,-6$
Question 6 :
$(\,3\,x\,-5)\;(\,-5+\,y) = $ ?
$\,15\,\,x +\,3\,\,x\,y +\,25 \,-5\,\,y$ $\,-15\,\,x \,-3\,\,x\,y \,-25 \,-5\,\,y$ $\,-15\,\,x +\,3\,\,x\,y +\,25 \,-5\,\,y$ $\,-15\,\,x \,-3\,\,x\,y +\,25 \,-5\,\,y$
Question 7 :
$(\,1+\,y)\;(\,2\,y\,-4) = $ ?
$\,2\,\,y^2 +\,2\,\,y \,-4$ $\,2\,\,y^2 \,-2\,\,y \,-4$ $\,2\,\,y^2 +\,6\,\,y \,-4$ $\,2\,\,y^2 \,-6\,\,y +\,4$
Question 8 :
$(\,4\,t\,-4)\;(\,-2\,-\,x) = $ ?
$\,-8\,\,t \,-4\,\,t\,x \,-8 +\,4\,\,x$ $\,-8\,\,t +\,4\,\,t\,x +\,8 +\,4\,\,x$ $\,-8\,\,t \,-4\,\,t\,x \,-8 \,-4\,\,x$ $\,-8\,\,t \,-4\,\,t\,x +\,8 +\,4\,\,x$
Question 9 :
$(\,2\,-6\,a)\;(\,3\,-\,a) = $ ?
$\,6\,\,a^2 \,-20\,\,a +\,6$ $\,6\,\,a^2 \,-20\,\,a \,-6$ $\,6\,\,a^2 +\,16\,\,a +\,6$ $\,-6\,\,a^2 +\,16\,\,a +\,6$
Question 10 :
$(\,3\,-\,a)\;(\,-6\,-\,a) = $ ?
$\,-\,\,a^2 +\,3\,\,a \,-18$ $\,\,a^2 +\,9\,\,a +\,18$ $\,\,a^2 +\,3\,\,a \,-18$ $\,\,a^2 +\,9\,\,a \,-18$