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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,a+\,6)\;(\,b+\,2) = $ ?
$\,2\,\,a\,b +\,3\,\,a +\,7\,\,b +\,8$ $\,\,a\,b +\,2\,\,a +\,6\,\,b +\,12$ $\,\,a\,b +\,12$ $\,9\,\,a^2\,b^2 +\,12$
Question 2 :
$(\,4+\,5\,t)\;(\,t+\,6) = $ ?
$\,5\,\,t^2 +\,34\,\,t +\,24$ $\,39\,\,t +\,24$ $\,5\,\,t^2 +\,24$ $\,6\,\,t^2 +\,16\,\,t +\,10$
Question 3 :
$(\,a+\,6)\;(\,3+\,b) = $ ?
$\,10\,\,a^2\,b^2 +\,18$ $\,4\,\,a +\,2\,\,a\,b +\,9 +\,7\,\,b$ $\,3\,\,a +\,\,a\,b +\,18 +\,6\,\,b$ $\,\,a\,b +\,18$
Question 4 :
$(\,b+\,6)\;(\,2+\,b) = $ ?
$\,\,b^2 +\,12$ $\,2\,\,b^2 +\,10\,\,b +\,8$ $\,9\,\,b +\,12$ $\,\,b^2 +\,8\,\,b +\,12$
Question 5 :
$(\,4\,-6\,x)\;(\,3+\,2\,y) = $ ?
$\,12 +\,8\,\,y +\,18\,\,x +\,12\,\,x\,y$ $\,12 +\,8\,\,y \,-18\,\,x \,-12\,\,x\,y$ $\,-12 +\,8\,\,y +\,18\,\,x \,-12\,\,x\,y$ $\,-12 +\,8\,\,y \,-18\,\,x +\,12\,\,x\,y$
Question 6 :
$(\,2\,-5\,a)\;(\,6\,-3\,b) = $ ?
$\,12 +\,6\,\,b \,-30\,\,a \,-15\,\,a\,b$ $\,12 \,-6\,\,b +\,30\,\,a \,-15\,\,a\,b$ $\,12 +\,6\,\,b +\,30\,\,a +\,15\,\,a\,b$ $\,12 \,-6\,\,b \,-30\,\,a +\,15\,\,a\,b$
Question 7 :
$(\,a\,-2)\;(\,3+\,a) = $ ?
$\,\,a^2 +\,\,a \,-6$ $\,-\,\,a^2 +\,\,a \,-6$ $\,\,a^2 +\,\,a +\,6$ $\,-\,\,a^2 \,-5\,\,a \,-6$
Question 8 :
$(\,b\,-4)\;(\,-3\,-\,a) = $ ?
$\,-3\,\,b \,-\,\,a\,b +\,12 +\,4\,\,a$ $\,-3\,\,b \,-\,\,a\,b +\,12 \,-4\,\,a$ $\,3\,\,b \,-\,\,a\,b +\,12 +\,4\,\,a$ $\,-3\,\,b \,-\,\,a\,b \,-12 \,-4\,\,a$
Question 9 :
$(\,4+\,y)\;(\,-\,y\,-4) = $ ?
$\,\,y^2 \,-8\,\,y +\,16$ $\,-\,\,y^2 \,-16$ $\,-\,\,y^2 +\,8\,\,y \,-16$ $\,-\,\,y^2 \,-8\,\,y \,-16$
Question 10 :
$(\,5\,x\,-2)\;(\,-3\,-5\,x) = $ ?
$\,-25\,\,x^2 +\,25\,\,x +\,6$ $\,25\,\,x^2 \,-5\,\,x \,-6$ $\,-25\,\,x^2 \,-5\,\,x \,-6$ $\,-25\,\,x^2 \,-5\,\,x +\,6$