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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,2+\,2\,a)\;(\,5\,b+\,1) = $ ?
$\,7\,\,b +\,3 +\,7\,\,a\,b +\,3\,\,a$ $\,10\,\,b +\,2 +\,10\,\,a\,b +\,2\,\,a$ $\,22\,\,a^2\,b^2 +\,2$ $\,10\,\,a\,b +\,2$
Question 2 :
$(\,x+\,4)\;(\,3+\,6\,x) = $ ?
$\,33\,\,x +\,12$ $\,6\,\,x^2 +\,12$ $\,6\,\,x^2 +\,27\,\,x +\,12$ $\,7\,\,x^2 +\,14\,\,x +\,7$
Question 3 :
$(\,2\,b+\,4)\;(\,6+\,5\,a) = $ ?
$\,42\,\,a^2\,b^2 +\,24$ $\,10\,\,a\,b +\,24$ $\,12\,\,b +\,10\,\,a\,b +\,24 +\,20\,\,a$ $\,8\,\,b +\,7\,\,a\,b +\,10 +\,9\,\,a$
Question 4 :
$(\,6+\,3\,t)\;(\,2\,t+\,5) = $ ?
$\,33\,\,t +\,30$ $\,6\,\,t^2 +\,30$ $\,5\,\,t^2 +\,16\,\,t +\,11$ $\,6\,\,t^2 +\,27\,\,t +\,30$
Question 5 :
$(\,t+\,3)\;(\,-2\,x+\,5) = $ ?
$\,-2\,\,t\,x +\,5\,\,t \,-6\,\,x +\,15$ $\,-2\,\,t\,x +\,5\,\,t +\,6\,\,x \,-15$ $\,2\,\,t\,x \,-5\,\,t \,-6\,\,x +\,15$ $\,2\,\,t\,x +\,5\,\,t \,-6\,\,x +\,15$
Question 6 :
$(\,1\,-\,y)\;(\,-\,x+\,5) = $ ?
$\,-\,\,x +\,5 +\,\,x\,y +\,5\,\,y$ $\,-\,\,x +\,5 +\,\,x\,y \,-5\,\,y$ $\,-\,\,x +\,5 \,-\,\,x\,y \,-5\,\,y$ $\,\,x \,-5 +\,\,x\,y \,-5\,\,y$
Question 7 :
$(\,3+\,4\,y)\;(\,-\,y+\,3) = $ ?
$\,-4\,\,y^2 +\,9\,\,y +\,9$ $\,-4\,\,y^2 \,-15\,\,y +\,9$ $\,4\,\,y^2 +\,9\,\,y +\,9$ $\,-4\,\,y^2 +\,9\,\,y \,-9$
Question 8 :
$(\,4\,-4\,a)\;(\,-6\,-\,b) = $ ?
$\,-24 \,-4\,\,b +\,24\,\,a +\,4\,\,a\,b$ $\,24 \,-4\,\,b +\,24\,\,a \,-4\,\,a\,b$ $\,-24 \,-4\,\,b +\,24\,\,a \,-4\,\,a\,b$ $\,24 \,-4\,\,b +\,24\,\,a +\,4\,\,a\,b$
Question 9 :
$(\,6\,-\,t)\;(\,-2+\,6\,t) = $ ?
$\,6\,\,t^2 +\,38\,\,t \,-12$ $\,-6\,\,t^2 \,-34\,\,t +\,12$ $\,6\,\,t^2 \,-34\,\,t \,-12$ $\,-6\,\,t^2 +\,38\,\,t \,-12$
Question 10 :
$(\,6\,t\,-4)\;(\,-5\,t\,-6) = $ ?
$\,30\,\,t^2 \,-16\,\,t +\,24$ $\,-30\,\,t^2 \,-56\,\,t \,-24$ $\,-30\,\,t^2 \,-16\,\,t \,-24$ $\,-30\,\,t^2 \,-16\,\,t +\,24$