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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,6+\,a)\;(\,1+\,3\,b) = $ ?
$\,6 +\,18\,\,b +\,\,a +\,3\,\,a\,b$ $\,22\,\,a^2\,b^2 +\,6$ $\,3\,\,a\,b +\,6$ $\,7 +\,9\,\,b +\,2\,\,a +\,4\,\,a\,b$
Question 2 :
$(\,1+\,5\,y)\;(\,y+\,4) = $ ?
$\,5\,\,y^2 +\,4$ $\,5\,\,y^2 +\,21\,\,y +\,4$ $\,26\,\,y +\,4$ $\,6\,\,y^2 +\,11\,\,y +\,5$
Question 3 :
$(\,6\,b+\,6)\;(\,2\,a+\,4) = $ ?
$\,12\,\,a\,b +\,24\,\,b +\,12\,\,a +\,24$ $\,8\,\,a\,b +\,10\,\,b +\,8\,\,a +\,10$ $\,12\,\,a\,b +\,24$ $\,48\,\,a^2\,b^2 +\,24$
Question 4 :
$(\,3+\,2\,x)\;(\,2+\,x) = $ ?
$\,9\,\,x +\,6$ $\,2\,\,x^2 +\,7\,\,x +\,6$ $\,2\,\,x^2 +\,6$ $\,3\,\,x^2 +\,8\,\,x +\,5$
Question 5 :
$(\,2\,-\,x)\;(\,4+\,y) = $ ?
$\,8 +\,2\,\,y +\,4\,\,x +\,\,x\,y$ $\,8 +\,2\,\,y \,-4\,\,x \,-\,\,x\,y$ $\,-8 +\,2\,\,y +\,4\,\,x \,-\,\,x\,y$ $\,-8 +\,2\,\,y \,-4\,\,x \,-\,\,x\,y$
Question 6 :
$(\,6\,-\,b)\;(\,-\,a+\,5) = $ ?
$\,-6\,\,a +\,30 +\,\,a\,b \,-5\,\,b$ $\,6\,\,a \,-30 +\,\,a\,b \,-5\,\,b$ $\,-6\,\,a \,-30 +\,\,a\,b +\,5\,\,b$ $\,-6\,\,a +\,30 +\,\,a\,b +\,5\,\,b$
Question 7 :
$(\,y\,-5)\;(\,y+\,2) = $ ?
$\,-\,\,y^2 \,-3\,\,y +\,10$ $\,\,y^2 \,-3\,\,y \,-10$ $\,\,y^2 \,-7\,\,y \,-10$ $\,\,y^2 \,-3\,\,y +\,10$
Question 8 :
$(\,1\,-\,x)\;(\,-\,y\,-6) = $ ?
$\,\,y +\,6 +\,\,x\,y +\,6\,\,x$ $\,-\,\,y \,-6 +\,\,x\,y \,-6\,\,x$ $\,-\,\,y \,-6 +\,\,x\,y +\,6\,\,x$ $\,-\,\,y +\,6 +\,\,x\,y \,-6\,\,x$
Question 9 :
$(\,2\,-\,b)\;(\,-5\,b+\,2) = $ ?
$\,5\,\,b^2 \,-12\,\,b +\,4$ $\,-5\,\,b^2 \,-12\,\,b +\,4$ $\,-5\,\,b^2 +\,8\,\,b +\,4$ $\,5\,\,b^2 \,-8\,\,b +\,4$
Question 10 :
$(\,5\,t\,-6)\;(\,-\,t\,-3) = $ ?
$\,5\,\,t^2 +\,21\,\,t +\,18$ $\,-5\,\,t^2 \,-9\,\,t +\,18$ $\,-5\,\,t^2 +\,9\,\,t +\,18$ $\,-5\,\,t^2 \,-21\,\,t \,-18$