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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,1+\,a)\;(\,4+\,b) = $ ?
$\,5 +\,2\,\,b +\,5\,\,a +\,2\,\,a\,b$ $\,4 +\,\,b +\,4\,\,a +\,\,a\,b$ $\,\,a\,b +\,4$ $\,6\,\,a^2\,b^2 +\,4$
Question 2 :
$(\,y+\,6)\;(\,4+\,y) = $ ?
$\,2\,\,y^2 +\,12\,\,y +\,10$ $\,\,y^2 +\,24$ $\,\,y^2 +\,10\,\,y +\,24$ $\,11\,\,y +\,24$
Question 3 :
$(\,4+\,6\,x)\;(\,y+\,1) = $ ?
$\,5\,\,y +\,5 +\,7\,\,x\,y +\,7\,\,x$ $\,6\,\,x\,y +\,4$ $\,16\,\,x^2\,y^2 +\,4$ $\,4\,\,y +\,4 +\,6\,\,x\,y +\,6\,\,x$
Question 4 :
$(\,5+\,2\,t)\;(\,4\,t+\,3) = $ ?
$\,34\,\,t +\,15$ $\,8\,\,t^2 +\,15$ $\,6\,\,t^2 +\,14\,\,t +\,8$ $\,8\,\,t^2 +\,26\,\,t +\,15$
Question 5 :
$(\,x+\,3)\;(\,-2+\,5\,y) = $ ?
$\,-2\,\,x +\,5\,\,x\,y \,-6 +\,15\,\,y$ $\,-2\,\,x \,-5\,\,x\,y \,-6 +\,15\,\,y$ $\,2\,\,x \,-5\,\,x\,y \,-6 +\,15\,\,y$ $\,-2\,\,x +\,5\,\,x\,y +\,6 +\,15\,\,y$
Question 6 :
$(\,6\,a+\,6)\;(\,-5\,-\,b) = $ ?
$\,30\,\,a +\,6\,\,a\,b \,-30 \,-6\,\,b$ $\,-30\,\,a \,-6\,\,a\,b \,-30 \,-6\,\,b$ $\,30\,\,a \,-6\,\,a\,b \,-30 \,-6\,\,b$ $\,-30\,\,a +\,6\,\,a\,b \,-30 +\,6\,\,b$
Question 7 :
$(\,6\,t\,-2)\;(\,4\,t+\,6) = $ ?
$\,-24\,\,t^2 +\,28\,\,t +\,12$ $\,24\,\,t^2 +\,28\,\,t \,-12$ $\,24\,\,t^2 +\,44\,\,t +\,12$ $\,-24\,\,t^2 +\,28\,\,t \,-12$
Question 8 :
$(\,2\,x\,-4)\;(\,-6\,-3\,y) = $ ?
$\,-12\,\,x \,-6\,\,x\,y +\,24 +\,12\,\,y$ $\,-12\,\,x +\,6\,\,x\,y +\,24 \,-12\,\,y$ $\,-12\,\,x +\,6\,\,x\,y +\,24 +\,12\,\,y$ $\,12\,\,x +\,6\,\,x\,y +\,24 +\,12\,\,y$
Question 9 :
$(\,5\,-3\,y)\;(\,4\,y\,-1) = $ ?
$\,-12\,\,y^2 \,-17\,\,y \,-5$ $\,12\,\,y^2 +\,23\,\,y \,-5$ $\,-12\,\,y^2 +\,17\,\,y \,-5$ $\,-12\,\,y^2 +\,23\,\,y \,-5$
Question 10 :
$(\,5\,t\,-4)\;(\,-6\,-5\,t) = $ ?
$\,-25\,\,t^2 \,-10\,\,t \,-24$ $\,-25\,\,t^2 \,-10\,\,t +\,24$ $\,-25\,\,t^2 +\,10\,\,t +\,24$ $\,25\,\,t^2 \,-50\,\,t +\,24$