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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,a+\,2)\;(\,4\,b+\,1) = $ ?
$\,4\,\,a\,b +\,\,a +\,8\,\,b +\,2$ $\,13\,\,a^2\,b^2 +\,2$ $\,4\,\,a\,b +\,2$ $\,5\,\,a\,b +\,2\,\,a +\,6\,\,b +\,3$
Question 2 :
$(\,3+\,6\,x)\;(\,x+\,2) = $ ?
$\,6\,\,x^2 +\,6$ $\,7\,\,x^2 +\,12\,\,x +\,5$ $\,6\,\,x^2 +\,15\,\,x +\,6$ $\,21\,\,x +\,6$
Question 3 :
$(\,6+\,y)\;(\,x+\,6) = $ ?
$\,7\,\,x +\,12 +\,2\,\,x\,y +\,7\,\,y$ $\,6\,\,x +\,36 +\,\,x\,y +\,6\,\,y$ $\,\,x\,y +\,36$ $\,13\,\,x^2\,y^2 +\,36$
Question 4 :
$(\,4\,x+\,2)\;(\,6+\,x) = $ ?
$\,30\,\,x +\,12$ $\,4\,\,x^2 +\,26\,\,x +\,12$ $\,5\,\,x^2 +\,13\,\,x +\,8$ $\,4\,\,x^2 +\,12$
Question 5 :
$(\,6\,-6\,b)\;(\,4+\,a) = $ ?
$\,24 +\,6\,\,a +\,24\,\,b \,-6\,\,a\,b$ $\,-24 +\,6\,\,a +\,24\,\,b \,-6\,\,a\,b$ $\,24 +\,6\,\,a \,-24\,\,b +\,6\,\,a\,b$ $\,24 +\,6\,\,a \,-24\,\,b \,-6\,\,a\,b$
Question 6 :
$(\,3+\,5\,a)\;(\,-6\,-\,b) = $ ?
$\,-18 \,-3\,\,b \,-30\,\,a \,-5\,\,a\,b$ $\,-18 +\,3\,\,b +\,30\,\,a \,-5\,\,a\,b$ $\,-18 \,-3\,\,b \,-30\,\,a +\,5\,\,a\,b$ $\,-18 \,-3\,\,b +\,30\,\,a \,-5\,\,a\,b$
Question 7 :
$(\,2+\,y)\;(\,-4+\,6\,y) = $ ?
$\,-6\,\,y^2 +\,16\,\,y \,-8$ $\,6\,\,y^2 +\,16\,\,y \,-8$ $\,-6\,\,y^2 \,-16\,\,y \,-8$ $\,6\,\,y^2 +\,8\,\,y \,-8$
Question 8 :
$(\,3\,t\,-6)\;(\,-6\,-4\,x) = $ ?
$\,-18\,\,t +\,12\,\,t\,x +\,36 +\,24\,\,x$ $\,-18\,\,t \,-12\,\,t\,x \,-36 \,-24\,\,x$ $\,-18\,\,t \,-12\,\,t\,x +\,36 +\,24\,\,x$ $\,18\,\,t \,-12\,\,t\,x \,-36 +\,24\,\,x$
Question 9 :
$(\,3+\,6\,t)\;(\,-\,t\,-3) = $ ?
$\,-6\,\,t^2 \,-15\,\,t \,-9$ $\,6\,\,t^2 \,-21\,\,t +\,9$ $\,-6\,\,t^2 +\,15\,\,t \,-9$ $\,-6\,\,t^2 \,-21\,\,t \,-9$
Question 10 :
$(\,2\,-\,a)\;(\,-3\,a\,-4) = $ ?
$\,-3\,\,a^2 +\,10\,\,a \,-8$ $\,-3\,\,a^2 \,-2\,\,a +\,8$ $\,3\,\,a^2 \,-2\,\,a +\,8$ $\,3\,\,a^2 \,-2\,\,a \,-8$