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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,3\,b+\,1)\;(\,6+\,a) = $ ?
$\,22\,\,a^2\,b^2 +\,6$ $\,9\,\,b +\,4\,\,a\,b +\,7 +\,2\,\,a$ $\,18\,\,b +\,3\,\,a\,b +\,6 +\,\,a$ $\,3\,\,a\,b +\,6$
Question 2 :
$(\,1+\,4\,b)\;(\,4\,b+\,2) = $ ?
$\,16\,\,b^2 +\,12\,\,b +\,2$ $\,8\,\,b^2 +\,11\,\,b +\,3$ $\,28\,\,b +\,2$ $\,16\,\,b^2 +\,2$
Question 3 :
$(\,3\,y+\,3)\;(\,6+\,5\,x) = $ ?
$\,15\,\,x\,y +\,18$ $\,9\,\,y +\,8\,\,x\,y +\,9 +\,8\,\,x$ $\,48\,\,x^2\,y^2 +\,18$ $\,18\,\,y +\,15\,\,x\,y +\,18 +\,15\,\,x$
Question 4 :
$(\,6+\,3\,y)\;(\,3+\,4\,y) = $ ?
$\,12\,\,y^2 +\,18$ $\,45\,\,y +\,18$ $\,7\,\,y^2 +\,16\,\,y +\,9$ $\,12\,\,y^2 +\,33\,\,y +\,18$
Question 5 :
$(\,5\,b\,-4)\;(\,4+\,a) = $ ?
$\,20\,\,b +\,5\,\,a\,b \,-16 \,-4\,\,a$ $\,20\,\,b +\,5\,\,a\,b +\,16 +\,4\,\,a$ $\,-20\,\,b +\,5\,\,a\,b \,-16 +\,4\,\,a$ $\,-20\,\,b \,-5\,\,a\,b \,-16 \,-4\,\,a$
Question 6 :
$(\,6\,-4\,x)\;(\,y\,-6) = $ ?
$\,6\,\,y \,-36 \,-4\,\,x\,y +\,24\,\,x$ $\,-6\,\,y \,-36 +\,4\,\,x\,y +\,24\,\,x$ $\,-6\,\,y \,-36 \,-4\,\,x\,y +\,24\,\,x$ $\,6\,\,y \,-36 +\,4\,\,x\,y \,-24\,\,x$
Question 7 :
$(\,4+\,4\,a)\;(\,-6+\,a) = $ ?
$\,-4\,\,a^2 \,-28\,\,a \,-24$ $\,4\,\,a^2 \,-20\,\,a \,-24$ $\,4\,\,a^2 \,-20\,\,a +\,24$ $\,4\,\,a^2 +\,28\,\,a +\,24$
Question 8 :
$(\,6\,t\,-4)\;(\,-4\,-\,x) = $ ?
$\,-24\,\,t \,-6\,\,t\,x +\,16 +\,4\,\,x$ $\,-24\,\,t +\,6\,\,t\,x +\,16 \,-4\,\,x$ $\,-24\,\,t \,-6\,\,t\,x +\,16 \,-4\,\,x$ $\,24\,\,t \,-6\,\,t\,x \,-16 +\,4\,\,x$
Question 9 :
$(\,y\,-5)\;(\,-2+\,6\,y) = $ ?
$\,6\,\,y^2 \,-32\,\,y +\,10$ $\,6\,\,y^2 +\,28\,\,y +\,10$ $\,6\,\,y^2 \,-28\,\,y +\,10$ $\,-6\,\,y^2 \,-28\,\,y +\,10$
Question 10 :
$(\,3\,y\,-6)\;(\,-5\,-\,y) = $ ?
$\,-3\,\,y^2 \,-9\,\,y +\,30$ $\,-3\,\,y^2 +\,21\,\,y \,-30$ $\,3\,\,y^2 \,-21\,\,y +\,30$ $\,-3\,\,y^2 \,-9\,\,y \,-30$