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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,2\,x+\,3)\;(\,y+\,1) = $ ?
$\,7\,\,x^2\,y^2 +\,3$ $\,2\,\,x\,y +\,2\,\,x +\,3\,\,y +\,3$ $\,2\,\,x\,y +\,3$ $\,3\,\,x\,y +\,3\,\,x +\,4\,\,y +\,4$
Question 2 :
$(\,3+\,y)\;(\,4+\,y) = $ ?
$\,\,y^2 +\,12$ $\,8\,\,y +\,12$ $\,2\,\,y^2 +\,9\,\,y +\,7$ $\,\,y^2 +\,7\,\,y +\,12$
Question 3 :
$(\,x+\,5)\;(\,y+\,6) = $ ?
$\,\,x\,y +\,6\,\,x +\,5\,\,y +\,30$ $\,12\,\,x^2\,y^2 +\,30$ $\,\,x\,y +\,30$ $\,2\,\,x\,y +\,7\,\,x +\,6\,\,y +\,11$
Question 4 :
$(\,b+\,6)\;(\,1+\,3\,b) = $ ?
$\,4\,\,b^2 +\,11\,\,b +\,7$ $\,3\,\,b^2 +\,6$ $\,22\,\,b +\,6$ $\,3\,\,b^2 +\,19\,\,b +\,6$
Question 5 :
$(\,1\,-5\,t)\;(\,x+\,3) = $ ?
$\,\,x \,-3 +\,5\,\,t\,x \,-15\,\,t$ $\,\,x +\,3 \,-5\,\,t\,x \,-15\,\,t$ $\,-\,\,x +\,3 \,-5\,\,t\,x \,-15\,\,t$ $\,\,x +\,3 +\,5\,\,t\,x +\,15\,\,t$
Question 6 :
$(\,x+\,5)\;(\,-2\,-4\,y) = $ ?
$\,-2\,\,x +\,4\,\,x\,y \,-10 \,-20\,\,y$ $\,-2\,\,x \,-4\,\,x\,y \,-10 \,-20\,\,y$ $\,-2\,\,x +\,4\,\,x\,y +\,10 \,-20\,\,y$ $\,2\,\,x \,-4\,\,x\,y +\,10 \,-20\,\,y$
Question 7 :
$(\,5+\,2\,y)\;(\,-6+\,y) = $ ?
$\,2\,\,y^2 +\,17\,\,y +\,30$ $\,-2\,\,y^2 \,-17\,\,y \,-30$ $\,-2\,\,y^2 \,-7\,\,y \,-30$ $\,2\,\,y^2 \,-7\,\,y \,-30$
Question 8 :
$(\,4\,-3\,y)\;(\,-3\,-6\,x) = $ ?
$\,-12 \,-24\,\,x +\,9\,\,y +\,18\,\,x\,y$ $\,-12 \,-24\,\,x \,-9\,\,y \,-18\,\,x\,y$ $\,12 \,-24\,\,x +\,9\,\,y +\,18\,\,x\,y$ $\,-12 \,-24\,\,x \,-9\,\,y +\,18\,\,x\,y$
Question 9 :
$(\,4\,-\,a)\;(\,6\,-2\,a) = $ ?
$\,-2\,\,a^2 +\,2\,\,a +\,24$ $\,-2\,\,a^2 \,-14\,\,a +\,24$ $\,2\,\,a^2 \,-14\,\,a +\,24$ $\,-2\,\,a^2 \,-2\,\,a +\,24$
Question 10 :
$(\,x\,-1)\;(\,-6\,x\,-2) = $ ?
$\,6\,\,x^2 +\,4\,\,x +\,2$ $\,-6\,\,x^2 +\,4\,\,x +\,2$ $\,6\,\,x^2 +\,8\,\,x +\,2$ $\,-6\,\,x^2 \,-4\,\,x +\,2$