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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,5+\,x)\;(\,4+\,3\,y) = $ ?
$\,3\,\,x\,y +\,20$ $\,20 +\,15\,\,y +\,4\,\,x +\,3\,\,x\,y$ $\,9 +\,8\,\,y +\,5\,\,x +\,4\,\,x\,y$ $\,22\,\,x^2\,y^2 +\,20$
Question 2 :
$(\,1+\,5\,a)\;(\,4+\,2\,a) = $ ?
$\,32\,\,a +\,4$ $\,7\,\,a^2 +\,12\,\,a +\,5$ $\,10\,\,a^2 +\,22\,\,a +\,4$ $\,10\,\,a^2 +\,4$
Question 3 :
$(\,4+\,4\,y)\;(\,5\,x+\,1) = $ ?
$\,20\,\,x +\,4 +\,20\,\,x\,y +\,4\,\,y$ $\,44\,\,x^2\,y^2 +\,4$ $\,9\,\,x +\,5 +\,9\,\,x\,y +\,5\,\,y$ $\,20\,\,x\,y +\,4$
Question 4 :
$(\,6\,b+\,3)\;(\,b+\,2) = $ ?
$\,6\,\,b^2 +\,6$ $\,6\,\,b^2 +\,15\,\,b +\,6$ $\,7\,\,b^2 +\,12\,\,b +\,5$ $\,21\,\,b +\,6$
Question 5 :
$(\,6+\,y)\;(\,-1+\,x) = $ ?
$\,-6 +\,6\,\,x +\,\,y \,-\,\,x\,y$ $\,-6 +\,6\,\,x \,-\,\,y +\,\,x\,y$ $\,-6 +\,6\,\,x \,-\,\,y \,-\,\,x\,y$ $\,-6 +\,6\,\,x +\,\,y +\,\,x\,y$
Question 6 :
$(\,a\,-6)\;(\,6\,b\,-5) = $ ?
$\,6\,\,a\,b +\,5\,\,a \,-36\,\,b +\,30$ $\,6\,\,a\,b +\,5\,\,a \,-36\,\,b \,-30$ $\,6\,\,a\,b \,-5\,\,a \,-36\,\,b \,-30$ $\,6\,\,a\,b \,-5\,\,a \,-36\,\,b +\,30$
Question 7 :
$(\,5+\,5\,b)\;(\,-6\,b+\,4) = $ ?
$\,-30\,\,b^2 \,-50\,\,b \,-20$ $\,-30\,\,b^2 +\,50\,\,b +\,20$ $\,-30\,\,b^2 \,-10\,\,b +\,20$ $\,30\,\,b^2 +\,50\,\,b +\,20$
Question 8 :
$(\,a\,-1)\;(\,-5\,b\,-3) = $ ?
$\,-5\,\,a\,b +\,3\,\,a \,-5\,\,b +\,3$ $\,-5\,\,a\,b \,-3\,\,a \,-5\,\,b +\,3$ $\,-5\,\,a\,b \,-3\,\,a \,-5\,\,b \,-3$ $\,-5\,\,a\,b \,-3\,\,a +\,5\,\,b +\,3$
Question 9 :
$(\,6\,y\,-4)\;(\,-4\,y+\,5) = $ ?
$\,-24\,\,y^2 \,-14\,\,y +\,20$ $\,24\,\,y^2 \,-14\,\,y \,-20$ $\,24\,\,y^2 +\,14\,\,y \,-20$ $\,-24\,\,y^2 +\,46\,\,y \,-20$
Question 10 :
$(\,5\,-\,b)\;(\,-6\,-5\,b) = $ ?
$\,5\,\,b^2 +\,31\,\,b +\,30$ $\,5\,\,b^2 \,-31\,\,b \,-30$ $\,5\,\,b^2 \,-19\,\,b \,-30$ $\,5\,\,b^2 +\,31\,\,b \,-30$