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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,4\,x+\,4)\;(\,1+\,5\,y) = $ ?
$\,20\,\,x\,y +\,4$ $\,44\,\,x^2\,y^2 +\,4$ $\,5\,\,x +\,9\,\,x\,y +\,5 +\,9\,\,y$ $\,4\,\,x +\,20\,\,x\,y +\,4 +\,20\,\,y$
Question 2 :
$(\,3+\,5\,t)\;(\,4+\,6\,t) = $ ?
$\,68\,\,t +\,12$ $\,11\,\,t^2 +\,18\,\,t +\,7$ $\,30\,\,t^2 +\,12$ $\,30\,\,t^2 +\,38\,\,t +\,12$
Question 3 :
$(\,1+\,a)\;(\,5+\,b) = $ ?
$\,5 +\,\,b +\,5\,\,a +\,\,a\,b$ $\,6 +\,2\,\,b +\,6\,\,a +\,2\,\,a\,b$ $\,7\,\,a^2\,b^2 +\,5$ $\,\,a\,b +\,5$
Question 4 :
$(\,3+\,5\,b)\;(\,5+\,6\,b) = $ ?
$\,30\,\,b^2 +\,15$ $\,30\,\,b^2 +\,43\,\,b +\,15$ $\,11\,\,b^2 +\,19\,\,b +\,8$ $\,73\,\,b +\,15$
Question 5 :
$(\,b+\,4)\;(\,a\,-3) = $ ?
$\,-\,\,a\,b +\,3\,\,b +\,4\,\,a \,-12$ $\,\,a\,b \,-3\,\,b \,-4\,\,a +\,12$ $\,\,a\,b \,-3\,\,b +\,4\,\,a +\,12$ $\,\,a\,b \,-3\,\,b +\,4\,\,a \,-12$
Question 6 :
$(\,5\,-3\,a)\;(\,1\,-\,b) = $ ?
$\,5 +\,5\,\,b \,-3\,\,a \,-3\,\,a\,b$ $\,-5 \,-5\,\,b \,-3\,\,a +\,3\,\,a\,b$ $\,5 \,-5\,\,b +\,3\,\,a \,-3\,\,a\,b$ $\,5 \,-5\,\,b \,-3\,\,a +\,3\,\,a\,b$
Question 7 :
$(\,1+\,6\,y)\;(\,-6+\,y) = $ ?
$\,6\,\,y^2 \,-37\,\,y \,-6$ $\,6\,\,y^2 \,-35\,\,y \,-6$ $\,6\,\,y^2 \,-37\,\,y +\,6$ $\,6\,\,y^2 +\,37\,\,y \,-6$
Question 8 :
$(\,b\,-6)\;(\,-4\,-\,a) = $ ?
$\,4\,\,b \,-\,\,a\,b +\,24 +\,6\,\,a$ $\,-4\,\,b \,-\,\,a\,b +\,24 \,-6\,\,a$ $\,-4\,\,b \,-\,\,a\,b +\,24 +\,6\,\,a$ $\,-4\,\,b +\,\,a\,b +\,24 +\,6\,\,a$
Question 9 :
$(\,3\,y\,-6)\;(\,y\,-4) = $ ?
$\,3\,\,y^2 \,-18\,\,y +\,24$ $\,-3\,\,y^2 \,-18\,\,y \,-24$ $\,-3\,\,y^2 +\,6\,\,y +\,24$ $\,3\,\,y^2 \,-6\,\,y +\,24$
Question 10 :
$(\,x\,-2)\;(\,-3\,x\,-5) = $ ?
$\,-3\,\,x^2 +\,11\,\,x +\,10$ $\,-3\,\,x^2 +\,\,x +\,10$ $\,3\,\,x^2 +\,\,x \,-10$ $\,-3\,\,x^2 \,-\,\,x +\,10$