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QUIZ
Développement : double distributivité (QCM)
Développer et réduire :
Question 1 :
$(\,4\,t+\,4)\;(\,1+\,2\,x) = $ ?
$\,20\,\,t^2\,x^2 +\,4$ $\,4\,\,t +\,8\,\,t\,x +\,4 +\,8\,\,x$ $\,5\,\,t +\,6\,\,t\,x +\,5 +\,6\,\,x$ $\,8\,\,t\,x +\,4$
Question 2 :
$(\,3\,t+\,5)\;(\,5\,t+\,2) = $ ?
$\,8\,\,t^2 +\,15\,\,t +\,7$ $\,46\,\,t +\,10$ $\,15\,\,t^2 +\,31\,\,t +\,10$ $\,15\,\,t^2 +\,10$
Question 3 :
$(\,a+\,4)\;(\,6+\,3\,b) = $ ?
$\,21\,\,a^2\,b^2 +\,24$ $\,7\,\,a +\,4\,\,a\,b +\,10 +\,7\,\,b$ $\,3\,\,a\,b +\,24$ $\,6\,\,a +\,3\,\,a\,b +\,24 +\,12\,\,b$
Question 4 :
$(\,a+\,1)\;(\,a+\,3) = $ ?
$\,\,a^2 +\,4\,\,a +\,3$ $\,2\,\,a^2 +\,6\,\,a +\,4$ $\,5\,\,a +\,3$ $\,\,a^2 +\,3$
Question 5 :
$(\,5\,-6\,a)\;(\,6+\,b) = $ ?
$\,-30 +\,5\,\,b \,-36\,\,a \,-6\,\,a\,b$ $\,30 \,-5\,\,b \,-36\,\,a \,-6\,\,a\,b$ $\,30 +\,5\,\,b \,-36\,\,a \,-6\,\,a\,b$ $\,-30 +\,5\,\,b +\,36\,\,a \,-6\,\,a\,b$
Question 6 :
$(\,3\,x\,-5)\;(\,-\,y+\,2) = $ ?
$\,-3\,\,x\,y +\,6\,\,x \,-5\,\,y \,-10$ $\,-3\,\,x\,y +\,6\,\,x +\,5\,\,y \,-10$ $\,-3\,\,x\,y \,-6\,\,x \,-5\,\,y \,-10$ $\,-3\,\,x\,y \,-6\,\,x +\,5\,\,y +\,10$
Question 7 :
$(\,4\,-5\,a)\;(\,a+\,2) = $ ?
$\,-5\,\,a^2 \,-6\,\,a +\,8$ $\,-5\,\,a^2 \,-14\,\,a \,-8$ $\,-5\,\,a^2 +\,14\,\,a \,-8$ $\,5\,\,a^2 \,-14\,\,a +\,8$
Question 8 :
$(\,4\,a\,-3)\;(\,-5\,b\,-2) = $ ?
$\,-20\,\,a\,b \,-8\,\,a +\,15\,\,b +\,6$ $\,-20\,\,a\,b \,-8\,\,a \,-15\,\,b \,-6$ $\,-20\,\,a\,b \,-8\,\,a \,-15\,\,b +\,6$ $\,-20\,\,a\,b +\,8\,\,a \,-15\,\,b +\,6$
Question 9 :
$(\,3+\,3\,a)\;(\,-6\,-\,a) = $ ?
$\,3\,\,a^2 \,-15\,\,a \,-18$ $\,-3\,\,a^2 \,-21\,\,a \,-18$ $\,-3\,\,a^2 \,-21\,\,a +\,18$ $\,-3\,\,a^2 +\,15\,\,a \,-18$
Question 10 :
$(\,6\,-6\,x)\;(\,-5\,x\,-2) = $ ?
$\,30\,\,x^2 \,-18\,\,x \,-12$ $\,30\,\,x^2 \,-18\,\,x +\,12$ $\,-30\,\,x^2 \,-42\,\,x \,-12$ $\,30\,\,x^2 \,-42\,\,x \,-12$