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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,1+\,6\,a)\;(\,b+\,3) = $ ?
$\,6\,\,a\,b +\,3$ $\,25\,\,a^2\,b^2 +\,3$ $\,2\,\,b +\,4 +\,7\,\,a\,b +\,9\,\,a$ $\,\,b +\,3 +\,6\,\,a\,b +\,18\,\,a$
Question 2 :
$(\,3+\,2\,y)\;(\,2\,y+\,4) = $ ?
$\,4\,\,y^2 +\,11\,\,y +\,7$ $\,4\,\,y^2 +\,12$ $\,4\,\,y^2 +\,14\,\,y +\,12$ $\,18\,\,y +\,12$
Question 3 :
$(\,5\,y+\,5)\;(\,x+\,4) = $ ?
$\,5\,\,x\,y +\,20\,\,y +\,5\,\,x +\,20$ $\,30\,\,x^2\,y^2 +\,20$ $\,5\,\,x\,y +\,20$ $\,6\,\,x\,y +\,9\,\,y +\,6\,\,x +\,9$
Question 4 :
$(\,2+\,a)\;(\,6\,a+\,3) = $ ?
$\,21\,\,a +\,6$ $\,6\,\,a^2 +\,6$ $\,7\,\,a^2 +\,12\,\,a +\,5$ $\,6\,\,a^2 +\,15\,\,a +\,6$
Question 5 :
$(\,x+\,1)\;(\,-\,y+\,6) = $ ?
$\,-\,\,x\,y +\,6\,\,x +\,\,y \,-6$ $\,\,x\,y \,-6\,\,x \,-\,\,y +\,6$ $\,-\,\,x\,y \,-6\,\,x +\,\,y +\,6$ $\,-\,\,x\,y +\,6\,\,x \,-\,\,y +\,6$
Question 6 :
$(\,2+\,4\,t)\;(\,-4\,x\,-2) = $ ?
$\,-8\,\,x \,-4 \,-16\,\,t\,x \,-8\,\,t$ $\,-8\,\,x +\,4 \,-16\,\,t\,x \,-8\,\,t$ $\,-8\,\,x \,-4 +\,16\,\,t\,x +\,8\,\,t$ $\,8\,\,x \,-4 \,-16\,\,t\,x +\,8\,\,t$
Question 7 :
$(\,3+\,t)\;(\,5\,t\,-2) = $ ?
$\,5\,\,t^2 +\,13\,\,t \,-6$ $\,5\,\,t^2 +\,13\,\,t +\,6$ $\,5\,\,t^2 +\,17\,\,t \,-6$ $\,5\,\,t^2 +\,17\,\,t +\,6$
Question 8 :
$(\,b\,-6)\;(\,-2\,-5\,a) = $ ?
$\,2\,\,b +\,5\,\,a\,b +\,12 +\,30\,\,a$ $\,-2\,\,b \,-5\,\,a\,b +\,12 \,-30\,\,a$ $\,-2\,\,b \,-5\,\,a\,b +\,12 +\,30\,\,a$ $\,-2\,\,b +\,5\,\,a\,b +\,12 +\,30\,\,a$
Question 9 :
$(\,a\,-2)\;(\,4\,-6\,a) = $ ?
$\,6\,\,a^2 +\,16\,\,a \,-8$ $\,-6\,\,a^2 +\,16\,\,a \,-8$ $\,-6\,\,a^2 +\,8\,\,a \,-8$ $\,-6\,\,a^2 +\,8\,\,a +\,8$
Question 10 :
$(\,5\,t\,-6)\;(\,-1\,-5\,t) = $ ?
$\,25\,\,t^2 +\,25\,\,t \,-6$ $\,-25\,\,t^2 +\,25\,\,t +\,6$ $\,-25\,\,t^2 +\,35\,\,t +\,6$ $\,-25\,\,t^2 \,-35\,\,t +\,6$