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QUIZ
Développement : double distributivité
Développer et réduire :
Question 1 :
$(\,5+\,a)\;(\,4+\,b) = $ ?
$\,20 +\,5\,\,b +\,4\,\,a +\,\,a\,b$ $\,9 +\,6\,\,b +\,5\,\,a +\,2\,\,a\,b$ $\,10\,\,a^2\,b^2 +\,20$ $\,\,a\,b +\,20$
Question 2 :
$(\,2+\,6\,a)\;(\,3\,a+\,5) = $ ?
$\,54\,\,a +\,10$ $\,9\,\,a^2 +\,16\,\,a +\,7$ $\,18\,\,a^2 +\,36\,\,a +\,10$ $\,18\,\,a^2 +\,10$
Question 3 :
$(\,4\,y+\,1)\;(\,3+\,2\,x) = $ ?
$\,7\,\,y +\,6\,\,x\,y +\,4 +\,3\,\,x$ $\,8\,\,x\,y +\,3$ $\,12\,\,y +\,8\,\,x\,y +\,3 +\,2\,\,x$ $\,22\,\,x^2\,y^2 +\,3$
Question 4 :
$(\,x+\,3)\;(\,5\,x+\,4) = $ ?
$\,24\,\,x +\,12$ $\,5\,\,x^2 +\,12$ $\,6\,\,x^2 +\,13\,\,x +\,7$ $\,5\,\,x^2 +\,19\,\,x +\,12$
Question 5 :
$(\,3+\,4\,y)\;(\,-\,x+\,1) = $ ?
$\,3\,\,x +\,3 \,-4\,\,x\,y \,-4\,\,y$ $\,-3\,\,x \,-3 \,-4\,\,x\,y +\,4\,\,y$ $\,-3\,\,x +\,3 \,-4\,\,x\,y +\,4\,\,y$ $\,3\,\,x +\,3 \,-4\,\,x\,y +\,4\,\,y$
Question 6 :
$(\,2\,-\,x)\;(\,-6+\,5\,y) = $ ?
$\,-12 +\,10\,\,y \,-6\,\,x +\,5\,\,x\,y$ $\,12 \,-10\,\,y +\,6\,\,x \,-5\,\,x\,y$ $\,-12 +\,10\,\,y +\,6\,\,x \,-5\,\,x\,y$ $\,-12 +\,10\,\,y \,-6\,\,x \,-5\,\,x\,y$
Question 7 :
$(\,6\,-2\,b)\;(\,4\,b+\,3) = $ ?
$\,8\,\,b^2 \,-30\,\,b +\,18$ $\,8\,\,b^2 +\,18\,\,b \,-18$ $\,8\,\,b^2 +\,30\,\,b +\,18$ $\,-8\,\,b^2 +\,18\,\,b +\,18$
Question 8 :
$(\,a\,-3)\;(\,-4\,-\,b) = $ ?
$\,-4\,\,a \,-\,\,a\,b \,-12 +\,3\,\,b$ $\,-4\,\,a \,-\,\,a\,b +\,12 +\,3\,\,b$ $\,4\,\,a \,-\,\,a\,b \,-12 +\,3\,\,b$ $\,-4\,\,a +\,\,a\,b \,-12 +\,3\,\,b$
Question 9 :
$(\,6\,-2\,t)\;(\,t\,-6) = $ ?
$\,-2\,\,t^2 +\,18\,\,t +\,36$ $\,-2\,\,t^2 \,-18\,\,t \,-36$ $\,-2\,\,t^2 +\,18\,\,t \,-36$ $\,2\,\,t^2 +\,18\,\,t +\,36$
Question 10 :
$(\,y\,-6)\;(\,-\,y\,-2) = $ ?
$\,\,y^2 +\,8\,\,y +\,12$ $\,-\,\,y^2 +\,4\,\,y +\,12$ $\,-\,\,y^2 \,-4\,\,y +\,12$ $\,-\,\,y^2 +\,4\,\,y \,-12$