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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,3+\,x)\;(\,5\,y+\,6) = $ ?
$\,26\,\,x^2\,y^2 +\,18$ $\,8\,\,y +\,9 +\,6\,\,x\,y +\,7\,\,x$ $\,5\,\,x\,y +\,18$ $\,15\,\,y +\,18 +\,5\,\,x\,y +\,6\,\,x$
Question 2 :
$(\,2+\,2\,t)\;(\,5\,t+\,6) = $ ?
$\,32\,\,t +\,12$ $\,10\,\,t^2 +\,22\,\,t +\,12$ $\,7\,\,t^2 +\,15\,\,t +\,8$ $\,10\,\,t^2 +\,12$
Question 3 :
$(\,5\,a+\,3)\;(\,3+\,4\,b) = $ ?
$\,8\,\,a +\,9\,\,a\,b +\,6 +\,7\,\,b$ $\,47\,\,a^2\,b^2 +\,9$ $\,20\,\,a\,b +\,9$ $\,15\,\,a +\,20\,\,a\,b +\,9 +\,12\,\,b$
Question 4 :
$(\,6+\,t)\;(\,t+\,3) = $ ?
$\,\,t^2 +\,9\,\,t +\,18$ $\,\,t^2 +\,18$ $\,10\,\,t +\,18$ $\,2\,\,t^2 +\,11\,\,t +\,9$
Question 5 :
$(\,6\,b+\,6)\;(\,-4\,a+\,1) = $ ?
$\,-24\,\,a\,b +\,6\,\,b \,-24\,\,a +\,6$ $\,24\,\,a\,b \,-6\,\,b \,-24\,\,a +\,6$ $\,-24\,\,a\,b \,-6\,\,b +\,24\,\,a +\,6$ $\,-24\,\,a\,b \,-6\,\,b \,-24\,\,a \,-6$
Question 6 :
$(\,1+\,6\,a)\;(\,-6\,-2\,b) = $ ?
$\,-6 \,-2\,\,b \,-36\,\,a \,-12\,\,a\,b$ $\,6 +\,2\,\,b \,-36\,\,a \,-12\,\,a\,b$ $\,-6 +\,2\,\,b \,-36\,\,a +\,12\,\,a\,b$ $\,-6 +\,2\,\,b \,-36\,\,a \,-12\,\,a\,b$
Question 7 :
$(\,a+\,5)\;(\,-2+\,3\,a) = $ ?
$\,3\,\,a^2 +\,13\,\,a +\,10$ $\,-3\,\,a^2 +\,17\,\,a \,-10$ $\,3\,\,a^2 +\,17\,\,a +\,10$ $\,3\,\,a^2 +\,13\,\,a \,-10$
Question 8 :
$(\,b\,-6)\;(\,-6\,-2\,a) = $ ?
$\,6\,\,b \,-2\,\,a\,b \,-36 +\,12\,\,a$ $\,-6\,\,b +\,2\,\,a\,b +\,36 \,-12\,\,a$ $\,-6\,\,b \,-2\,\,a\,b +\,36 +\,12\,\,a$ $\,-6\,\,b \,-2\,\,a\,b \,-36 \,-12\,\,a$
Question 9 :
$(\,3\,b+\,1)\;(\,-5\,b\,-2) = $ ?
$\,-15\,\,b^2 +\,\,b \,-2$ $\,-15\,\,b^2 \,-11\,\,b \,-2$ $\,15\,\,b^2 \,-11\,\,b +\,2$ $\,-15\,\,b^2 +\,11\,\,b \,-2$
Question 10 :
$(\,2\,-\,t)\;(\,-\,t\,-3) = $ ?
$\,\,t^2 +\,\,t \,-6$ $\,\,t^2 +\,5\,\,t \,-6$ $\,\,t^2 \,-\,\,t \,-6$ $\,\,t^2 +\,5\,\,t +\,6$