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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,4+\,4\,y)\;(\,2+\,x) = $ ?
$\,8 +\,4\,\,x +\,8\,\,y +\,4\,\,x\,y$ $\,6 +\,5\,\,x +\,6\,\,y +\,5\,\,x\,y$ $\,4\,\,x\,y +\,8$ $\,16\,\,x^2\,y^2 +\,8$
Question 2 :
$(\,5+\,6\,a)\;(\,2+\,a) = $ ?
$\,6\,\,a^2 +\,17\,\,a +\,10$ $\,23\,\,a +\,10$ $\,7\,\,a^2 +\,14\,\,a +\,7$ $\,6\,\,a^2 +\,10$
Question 3 :
$(\,2\,y+\,4)\;(\,4\,x+\,2) = $ ?
$\,8\,\,x\,y +\,4\,\,y +\,16\,\,x +\,8$ $\,6\,\,x\,y +\,4\,\,y +\,8\,\,x +\,6$ $\,28\,\,x^2\,y^2 +\,8$ $\,8\,\,x\,y +\,8$
Question 4 :
$(\,2\,t+\,1)\;(\,4+\,t) = $ ?
$\,11\,\,t +\,4$ $\,2\,\,t^2 +\,9\,\,t +\,4$ $\,3\,\,t^2 +\,8\,\,t +\,5$ $\,2\,\,t^2 +\,4$
Question 5 :
$(\,2\,a\,-4)\;(\,b+\,6) = $ ?
$\,2\,\,a\,b +\,12\,\,a +\,4\,\,b \,-24$ $\,2\,\,a\,b +\,12\,\,a \,-4\,\,b \,-24$ $\,-2\,\,a\,b +\,12\,\,a \,-4\,\,b +\,24$ $\,2\,\,a\,b \,-12\,\,a \,-4\,\,b +\,24$
Question 6 :
$(\,6\,-6\,a)\;(\,-\,b+\,3) = $ ?
$\,-6\,\,b \,-18 \,-6\,\,a\,b \,-18\,\,a$ $\,6\,\,b +\,18 +\,6\,\,a\,b \,-18\,\,a$ $\,-6\,\,b +\,18 +\,6\,\,a\,b \,-18\,\,a$ $\,6\,\,b \,-18 +\,6\,\,a\,b \,-18\,\,a$
Question 7 :
$(\,4\,x\,-2)\;(\,1+\,x) = $ ?
$\,4\,\,x^2 +\,2\,\,x \,-2$ $\,-4\,\,x^2 +\,6\,\,x \,-2$ $\,4\,\,x^2 \,-6\,\,x \,-2$ $\,4\,\,x^2 +\,6\,\,x +\,2$
Question 8 :
$(\,4\,y\,-3)\;(\,-6\,-\,x) = $ ?
$\,-24\,\,y \,-4\,\,x\,y +\,18 +\,3\,\,x$ $\,24\,\,y +\,4\,\,x\,y +\,18 +\,3\,\,x$ $\,-24\,\,y +\,4\,\,x\,y +\,18 +\,3\,\,x$ $\,-24\,\,y +\,4\,\,x\,y +\,18 \,-3\,\,x$
Question 9 :
$(\,b\,-3)\;(\,-3\,b+\,5) = $ ?
$\,-3\,\,b^2 +\,14\,\,b \,-15$ $\,3\,\,b^2 +\,4\,\,b \,-15$ $\,3\,\,b^2 \,-4\,\,b \,-15$ $\,-3\,\,b^2 \,-4\,\,b +\,15$
Question 10 :
$(\,3\,-\,t)\;(\,-2\,-6\,t) = $ ?
$\,-6\,\,t^2 \,-20\,\,t \,-6$ $\,6\,\,t^2 \,-20\,\,t +\,6$ $\,6\,\,t^2 \,-16\,\,t \,-6$ $\,6\,\,t^2 +\,20\,\,t +\,6$