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QUIZ
Développement : double distributivité (1)
Développer et réduire :
Question 1 :
$(\,3\,a+\,3)\;(\,b+\,4) = $ ?
$\,3\,\,a\,b +\,12\,\,a +\,3\,\,b +\,12$ $\,18\,\,a^2\,b^2 +\,12$ $\,4\,\,a\,b +\,7\,\,a +\,4\,\,b +\,7$ $\,3\,\,a\,b +\,12$
Question 2 :
$(\,6\,a+\,2)\;(\,1+\,3\,a) = $ ?
$\,18\,\,a^2 +\,12\,\,a +\,2$ $\,9\,\,a^2 +\,12\,\,a +\,3$ $\,30\,\,a +\,2$ $\,18\,\,a^2 +\,2$
Question 3 :
$(\,3+\,3\,a)\;(\,2\,b+\,5) = $ ?
$\,6\,\,a\,b +\,15$ $\,27\,\,a^2\,b^2 +\,15$ $\,5\,\,b +\,8 +\,5\,\,a\,b +\,8\,\,a$ $\,6\,\,b +\,15 +\,6\,\,a\,b +\,15\,\,a$
Question 4 :
$(\,2\,t+\,1)\;(\,3+\,t) = $ ?
$\,9\,\,t +\,3$ $\,2\,\,t^2 +\,3$ $\,2\,\,t^2 +\,7\,\,t +\,3$ $\,3\,\,t^2 +\,7\,\,t +\,4$
Question 5 :
$(\,4+\,b)\;(\,3\,a\,-4) = $ ?
$\,12\,\,a +\,16 \,-3\,\,a\,b \,-4\,\,b$ $\,-12\,\,a \,-16 +\,3\,\,a\,b \,-4\,\,b$ $\,12\,\,a \,-16 +\,3\,\,a\,b \,-4\,\,b$ $\,12\,\,a +\,16 +\,3\,\,a\,b +\,4\,\,b$
Question 6 :
$(\,2+\,2\,x)\;(\,-4\,y\,-1) = $ ?
$\,8\,\,y \,-2 \,-8\,\,x\,y +\,2\,\,x$ $\,-8\,\,y \,-2 \,-8\,\,x\,y \,-2\,\,x$ $\,8\,\,y \,-2 +\,8\,\,x\,y \,-2\,\,x$ $\,-8\,\,y +\,2 \,-8\,\,x\,y +\,2\,\,x$
Question 7 :
$(\,3+\,4\,t)\;(\,-2\,t+\,1) = $ ?
$\,-8\,\,t^2 +\,10\,\,t \,-3$ $\,8\,\,t^2 +\,10\,\,t +\,3$ $\,-8\,\,t^2 \,-2\,\,t +\,3$ $\,-8\,\,t^2 \,-10\,\,t +\,3$
Question 8 :
$(\,4\,b\,-2)\;(\,-3\,-5\,a) = $ ?
$\,12\,\,b +\,20\,\,a\,b +\,6 +\,10\,\,a$ $\,-12\,\,b \,-20\,\,a\,b \,-6 +\,10\,\,a$ $\,-12\,\,b +\,20\,\,a\,b +\,6 +\,10\,\,a$ $\,-12\,\,b \,-20\,\,a\,b +\,6 +\,10\,\,a$
Question 9 :
$(\,x\,-3)\;(\,6\,x\,-1) = $ ?
$\,-6\,\,x^2 \,-19\,\,x \,-3$ $\,6\,\,x^2 \,-19\,\,x +\,3$ $\,6\,\,x^2 +\,17\,\,x \,-3$ $\,-6\,\,x^2 +\,17\,\,x +\,3$
Question 10 :
$(\,1\,-3\,x)\;(\,-4\,-5\,x) = $ ?
$\,-15\,\,x^2 \,-17\,\,x \,-4$ $\,-15\,\,x^2 +\,17\,\,x \,-4$ $\,15\,\,x^2 +\,7\,\,x +\,4$ $\,15\,\,x^2 +\,7\,\,x \,-4$