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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,4\,y+\,5)\;(\,3+\,6\,x) = $ ?
$\,24\,\,x\,y +\,15$ $\,66\,\,x^2\,y^2 +\,15$ $\,7\,\,y +\,10\,\,x\,y +\,8 +\,11\,\,x$ $\,12\,\,y +\,24\,\,x\,y +\,15 +\,30\,\,x$
Question 2 :
$(\,4\,x+\,4)\;(\,x+\,3) = $ ?
$\,4\,\,x^2 +\,12$ $\,5\,\,x^2 +\,12\,\,x +\,7$ $\,20\,\,x +\,12$ $\,4\,\,x^2 +\,16\,\,x +\,12$
Question 3 :
$(\,b+\,6)\;(\,3+\,a) = $ ?
$\,4\,\,b +\,2\,\,a\,b +\,9 +\,7\,\,a$ $\,\,a\,b +\,18$ $\,3\,\,b +\,\,a\,b +\,18 +\,6\,\,a$ $\,10\,\,a^2\,b^2 +\,18$
Question 4 :
$(\,1+\,4\,b)\;(\,b+\,3) = $ ?
$\,17\,\,b +\,3$ $\,5\,\,b^2 +\,9\,\,b +\,4$ $\,4\,\,b^2 +\,3$ $\,4\,\,b^2 +\,13\,\,b +\,3$
Question 5 :
$(\,1+\,3\,y)\;(\,3\,-\,x) = $ ?
$\,3 \,-\,\,x +\,9\,\,y \,-3\,\,x\,y$ $\,3 +\,\,x \,-9\,\,y \,-3\,\,x\,y$ $\,-3 \,-\,\,x +\,9\,\,y \,-3\,\,x\,y$ $\,-3 \,-\,\,x \,-9\,\,y \,-3\,\,x\,y$
Question 6 :
$(\,3\,-6\,x)\;(\,6\,y\,-1) = $ ?
$\,18\,\,y \,-3 \,-36\,\,x\,y \,-6\,\,x$ $\,18\,\,y \,-3 +\,36\,\,x\,y \,-6\,\,x$ $\,18\,\,y \,-3 \,-36\,\,x\,y +\,6\,\,x$ $\,-18\,\,y \,-3 +\,36\,\,x\,y +\,6\,\,x$
Question 7 :
$(\,y+\,2)\;(\,-\,y+\,6) = $ ?
$\,\,y^2 +\,8\,\,y +\,12$ $\,-\,\,y^2 +\,4\,\,y +\,12$ $\,-\,\,y^2 \,-8\,\,y \,-12$ $\,\,y^2 +\,4\,\,y \,-12$
Question 8 :
$(\,1\,-6\,x)\;(\,-5\,-4\,y) = $ ?
$\,-5 \,-4\,\,y +\,30\,\,x +\,24\,\,x\,y$ $\,-5 \,-4\,\,y +\,30\,\,x \,-24\,\,x\,y$ $\,5 \,-4\,\,y \,-30\,\,x +\,24\,\,x\,y$ $\,-5 +\,4\,\,y +\,30\,\,x +\,24\,\,x\,y$
Question 9 :
$(\,b+\,3)\;(\,-3\,-\,b) = $ ?
$\,\,b^2 \,-6\,\,b \,-9$ $\,-\,\,b^2 \,-6\,\,b \,-9$ $\,-\,\,b^2 \,-9$ $\,\,b^2 \,-9$
Question 10 :
$(\,5\,a\,-1)\;(\,-\,a\,-5) = $ ?
$\,-5\,\,a^2 \,-26\,\,a \,-5$ $\,-5\,\,a^2 +\,26\,\,a +\,5$ $\,-5\,\,a^2 \,-24\,\,a +\,5$ $\,5\,\,a^2 \,-26\,\,a +\,5$