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QUIZ
Développement : double distributivité (QCM)
Développer et réduire :
Question 1 :
$(\,1+\,3\,x)\;(\,y+\,6) = $ ?
$\,\,y +\,6 +\,3\,\,x\,y +\,18\,\,x$ $\,2\,\,y +\,7 +\,4\,\,x\,y +\,9\,\,x$ $\,22\,\,x^2\,y^2 +\,6$ $\,3\,\,x\,y +\,6$
Question 2 :
$(\,3\,t+\,5)\;(\,2+\,4\,t) = $ ?
$\,7\,\,t^2 +\,14\,\,t +\,7$ $\,38\,\,t +\,10$ $\,12\,\,t^2 +\,26\,\,t +\,10$ $\,12\,\,t^2 +\,10$
Question 3 :
$(\,3+\,3\,a)\;(\,4+\,5\,b) = $ ?
$\,15\,\,a\,b +\,12$ $\,42\,\,a^2\,b^2 +\,12$ $\,7 +\,8\,\,b +\,7\,\,a +\,8\,\,a\,b$ $\,12 +\,15\,\,b +\,12\,\,a +\,15\,\,a\,b$
Question 4 :
$(\,2+\,2\,b)\;(\,b+\,4) = $ ?
$\,12\,\,b +\,8$ $\,2\,\,b^2 +\,8$ $\,2\,\,b^2 +\,10\,\,b +\,8$ $\,3\,\,b^2 +\,9\,\,b +\,6$
Question 5 :
$(\,2\,x+\,1)\;(\,3\,y\,-2) = $ ?
$\,-6\,\,x\,y \,-4\,\,x \,-3\,\,y \,-2$ $\,6\,\,x\,y \,-4\,\,x +\,3\,\,y +\,2$ $\,6\,\,x\,y \,-4\,\,x +\,3\,\,y \,-2$ $\,6\,\,x\,y \,-4\,\,x \,-3\,\,y +\,2$
Question 6 :
$(\,1+\,2\,t)\;(\,-6\,-\,x) = $ ?
$\,-6 \,-\,\,x +\,12\,\,t +\,2\,\,t\,x$ $\,-6 \,-\,\,x \,-12\,\,t \,-2\,\,t\,x$ $\,-6 \,-\,\,x \,-12\,\,t +\,2\,\,t\,x$ $\,6 \,-\,\,x +\,12\,\,t \,-2\,\,t\,x$
Question 7 :
$(\,4\,-2\,b)\;(\,6+\,b) = $ ?
$\,2\,\,b^2 \,-8\,\,b +\,24$ $\,-2\,\,b^2 \,-8\,\,b +\,24$ $\,-2\,\,b^2 +\,8\,\,b +\,24$ $\,-2\,\,b^2 +\,16\,\,b \,-24$
Question 8 :
$(\,5\,-3\,a)\;(\,-1\,-4\,b) = $ ?
$\,-5 \,-20\,\,b +\,3\,\,a +\,12\,\,a\,b$ $\,5 \,-20\,\,b +\,3\,\,a \,-12\,\,a\,b$ $\,-5 \,-20\,\,b +\,3\,\,a \,-12\,\,a\,b$ $\,-5 +\,20\,\,b \,-3\,\,a +\,12\,\,a\,b$
Question 9 :
$(\,4\,a\,-6)\;(\,-5+\,a) = $ ?
$\,4\,\,a^2 +\,14\,\,a +\,30$ $\,-4\,\,a^2 \,-14\,\,a +\,30$ $\,4\,\,a^2 \,-26\,\,a +\,30$ $\,4\,\,a^2 \,-14\,\,a \,-30$
Question 10 :
$(\,6\,y\,-5)\;(\,-4\,y\,-3) = $ ?
$\,24\,\,y^2 \,-38\,\,y +\,15$ $\,-24\,\,y^2 +\,2\,\,y +\,15$ $\,24\,\,y^2 +\,2\,\,y \,-15$ $\,-24\,\,y^2 \,-38\,\,y +\,15$