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QUIZ
Développement : double distributivité (QCM)
Développer et réduire :
Question 1 :
$(\,3+\,a)\;(\,2+\,3\,b) = $ ?
$\,5 +\,6\,\,b +\,3\,\,a +\,4\,\,a\,b$ $\,14\,\,a^2\,b^2 +\,6$ $\,3\,\,a\,b +\,6$ $\,6 +\,9\,\,b +\,2\,\,a +\,3\,\,a\,b$
Question 2 :
$(\,4+\,y)\;(\,1+\,4\,y) = $ ?
$\,4\,\,y^2 +\,17\,\,y +\,4$ $\,4\,\,y^2 +\,4$ $\,21\,\,y +\,4$ $\,5\,\,y^2 +\,10\,\,y +\,5$
Question 3 :
$(\,2+\,4\,a)\;(\,5+\,b) = $ ?
$\,26\,\,a^2\,b^2 +\,10$ $\,7 +\,3\,\,b +\,9\,\,a +\,5\,\,a\,b$ $\,10 +\,2\,\,b +\,20\,\,a +\,4\,\,a\,b$ $\,4\,\,a\,b +\,10$
Question 4 :
$(\,3\,y+\,5)\;(\,y+\,3) = $ ?
$\,3\,\,y^2 +\,14\,\,y +\,15$ $\,3\,\,y^2 +\,15$ $\,17\,\,y +\,15$ $\,4\,\,y^2 +\,12\,\,y +\,8$
Question 5 :
$(\,4+\,5\,t)\;(\,-2\,x+\,3) = $ ?
$\,8\,\,x \,-12 \,-10\,\,t\,x +\,15\,\,t$ $\,8\,\,x +\,12 \,-10\,\,t\,x +\,15\,\,t$ $\,-8\,\,x +\,12 \,-10\,\,t\,x +\,15\,\,t$ $\,8\,\,x +\,12 +\,10\,\,t\,x +\,15\,\,t$
Question 6 :
$(\,3\,y\,-1)\;(\,1\,-\,x) = $ ?
$\,3\,\,y \,-3\,\,x\,y \,-1 +\,\,x$ $\,3\,\,y +\,3\,\,x\,y \,-1 +\,\,x$ $\,3\,\,y \,-3\,\,x\,y +\,1 +\,\,x$ $\,-3\,\,y \,-3\,\,x\,y +\,1 +\,\,x$
Question 7 :
$(\,5\,-\,a)\;(\,4+\,5\,a) = $ ?
$\,-5\,\,a^2 +\,29\,\,a \,-20$ $\,-5\,\,a^2 +\,21\,\,a +\,20$ $\,-5\,\,a^2 \,-21\,\,a +\,20$ $\,-5\,\,a^2 \,-29\,\,a \,-20$
Question 8 :
$(\,2\,-3\,y)\;(\,-6\,-\,x) = $ ?
$\,12 \,-2\,\,x +\,18\,\,y +\,3\,\,x\,y$ $\,-12 +\,2\,\,x +\,18\,\,y \,-3\,\,x\,y$ $\,-12 \,-2\,\,x +\,18\,\,y +\,3\,\,x\,y$ $\,-12 \,-2\,\,x \,-18\,\,y +\,3\,\,x\,y$
Question 9 :
$(\,1\,-\,a)\;(\,-3\,a+\,1) = $ ?
$\,-3\,\,a^2 \,-4\,\,a +\,1$ $\,-3\,\,a^2 +\,2\,\,a +\,1$ $\,3\,\,a^2 \,-4\,\,a +\,1$ $\,3\,\,a^2 \,-4\,\,a \,-1$
Question 10 :
$(\,2\,-\,a)\;(\,-6\,-4\,a) = $ ?
$\,4\,\,a^2 \,-14\,\,a +\,12$ $\,4\,\,a^2 +\,14\,\,a +\,12$ $\,-4\,\,a^2 \,-14\,\,a \,-12$ $\,4\,\,a^2 \,-2\,\,a \,-12$