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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,4\,x+\,6)\;(\,y+\,4) = $ ?
$\,4\,\,x\,y +\,16\,\,x +\,6\,\,y +\,24$ $\,26\,\,x^2\,y^2 +\,24$ $\,4\,\,x\,y +\,24$ $\,5\,\,x\,y +\,8\,\,x +\,7\,\,y +\,10$
Question 2 :
$(\,2+\,6\,y)\;(\,6\,y+\,1) = $ ?
$\,36\,\,y^2 +\,18\,\,y +\,2$ $\,54\,\,y +\,2$ $\,36\,\,y^2 +\,2$ $\,12\,\,y^2 +\,15\,\,y +\,3$
Question 3 :
$(\,5+\,2\,a)\;(\,2\,b+\,6) = $ ?
$\,26\,\,a^2\,b^2 +\,30$ $\,10\,\,b +\,30 +\,4\,\,a\,b +\,12\,\,a$ $\,7\,\,b +\,11 +\,4\,\,a\,b +\,8\,\,a$ $\,4\,\,a\,b +\,30$
Question 4 :
$(\,4+\,6\,a)\;(\,1+\,4\,a) = $ ?
$\,24\,\,a^2 +\,4$ $\,10\,\,a^2 +\,15\,\,a +\,5$ $\,24\,\,a^2 +\,22\,\,a +\,4$ $\,46\,\,a +\,4$
Question 5 :
$(\,a+\,1)\;(\,b\,-5) = $ ?
$\,\,a\,b \,-5\,\,a \,-\,\,b \,-5$ $\,-\,\,a\,b \,-5\,\,a +\,\,b +\,5$ $\,\,a\,b +\,5\,\,a +\,\,b +\,5$ $\,\,a\,b \,-5\,\,a +\,\,b \,-5$
Question 6 :
$(\,1+\,3\,x)\;(\,-4\,-6\,y) = $ ?
$\,-4 +\,6\,\,y \,-12\,\,x \,-18\,\,x\,y$ $\,-4 \,-6\,\,y \,-12\,\,x +\,18\,\,x\,y$ $\,-4 \,-6\,\,y \,-12\,\,x \,-18\,\,x\,y$ $\,-4 \,-6\,\,y +\,12\,\,x \,-18\,\,x\,y$
Question 7 :
$(\,4+\,a)\;(\,a\,-3) = $ ?
$\,-\,\,a^2 +\,\,a +\,12$ $\,\,a^2 +\,\,a \,-12$ $\,\,a^2 +\,\,a +\,12$ $\,-\,\,a^2 +\,\,a \,-12$
Question 8 :
$(\,6\,-\,x)\;(\,-4\,-5\,y) = $ ?
$\,24 \,-30\,\,y +\,4\,\,x +\,5\,\,x\,y$ $\,-24 \,-30\,\,y +\,4\,\,x \,-5\,\,x\,y$ $\,-24 \,-30\,\,y +\,4\,\,x +\,5\,\,x\,y$ $\,-24 +\,30\,\,y +\,4\,\,x \,-5\,\,x\,y$
Question 9 :
$(\,3\,b\,-3)\;(\,5\,b\,-2) = $ ?
$\,15\,\,b^2 +\,9\,\,b +\,6$ $\,15\,\,b^2 \,-9\,\,b +\,6$ $\,15\,\,b^2 +\,9\,\,b \,-6$ $\,15\,\,b^2 \,-21\,\,b +\,6$
Question 10 :
$(\,4\,-3\,b)\;(\,-3\,b\,-4) = $ ?
$\,9\,\,b^2 +\,24\,\,b +\,16$ $\,-9\,\,b^2 +\,24\,\,b \,-16$ $\,9\,\,b^2 \,-16$ $\,9\,\,b^2 \,-24\,\,b +\,16$