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