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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,4+\,b)\;(\,6\,a+\,1) = $ ?
$\,24\,\,a +\,4 +\,6\,\,a\,b +\,\,b$ $\,10\,\,a +\,5 +\,7\,\,a\,b +\,2\,\,b$ $\,31\,\,a^2\,b^2 +\,4$ $\,6\,\,a\,b +\,4$
Question 2 :
$(\,6\,y+\,6)\;(\,2\,y+\,3) = $ ?
$\,12\,\,y^2 +\,18$ $\,42\,\,y +\,18$ $\,12\,\,y^2 +\,30\,\,y +\,18$ $\,8\,\,y^2 +\,17\,\,y +\,9$
Question 3 :
$(\,5+\,a)\;(\,4+\,b) = $ ?
$\,10\,\,a^2\,b^2 +\,20$ $\,9 +\,6\,\,b +\,5\,\,a +\,2\,\,a\,b$ $\,\,a\,b +\,20$ $\,20 +\,5\,\,b +\,4\,\,a +\,\,a\,b$
Question 4 :
$(\,4+\,b)\;(\,2\,b+\,3) = $ ?
$\,2\,\,b^2 +\,11\,\,b +\,12$ $\,13\,\,b +\,12$ $\,2\,\,b^2 +\,12$ $\,3\,\,b^2 +\,10\,\,b +\,7$
Question 5 :
$(\,x\,-6)\;(\,3+\,5\,y) = $ ?
$\,3\,\,x +\,5\,\,x\,y \,-18 \,-30\,\,y$ $\,-3\,\,x \,-5\,\,x\,y \,-18 \,-30\,\,y$ $\,3\,\,x \,-5\,\,x\,y \,-18 \,-30\,\,y$ $\,-3\,\,x +\,5\,\,x\,y +\,18 \,-30\,\,y$
Question 6 :
$(\,4\,t+\,2)\;(\,-\,x\,-1) = $ ?
$\,4\,\,t\,x \,-4\,\,t +\,2\,\,x \,-2$ $\,-4\,\,t\,x +\,4\,\,t \,-2\,\,x \,-2$ $\,-4\,\,t\,x \,-4\,\,t \,-2\,\,x \,-2$ $\,4\,\,t\,x \,-4\,\,t \,-2\,\,x +\,2$
Question 7 :
$(\,y\,-5)\;(\,3+\,4\,y) = $ ?
$\,4\,\,y^2 \,-17\,\,y \,-15$ $\,-4\,\,y^2 \,-17\,\,y +\,15$ $\,-4\,\,y^2 +\,23\,\,y \,-15$ $\,-4\,\,y^2 \,-23\,\,y \,-15$
Question 8 :
$(\,5\,b\,-3)\;(\,-1\,-\,a) = $ ?
$\,-5\,\,b +\,5\,\,a\,b +\,3 \,-3\,\,a$ $\,5\,\,b +\,5\,\,a\,b +\,3 +\,3\,\,a$ $\,-5\,\,b \,-5\,\,a\,b +\,3 +\,3\,\,a$ $\,5\,\,b \,-5\,\,a\,b +\,3 \,-3\,\,a$
Question 9 :
$(\,2\,y\,-6)\;(\,-\,y+\,4) = $ ?
$\,-2\,\,y^2 +\,14\,\,y \,-24$ $\,-2\,\,y^2 \,-2\,\,y \,-24$ $\,2\,\,y^2 +\,14\,\,y +\,24$ $\,-2\,\,y^2 +\,2\,\,y +\,24$
Question 10 :
$(\,6\,-4\,a)\;(\,-1\,-2\,a) = $ ?
$\,8\,\,a^2 \,-8\,\,a \,-6$ $\,-8\,\,a^2 +\,16\,\,a \,-6$ $\,8\,\,a^2 +\,16\,\,a \,-6$ $\,8\,\,a^2 \,-16\,\,a \,-6$