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1998marie
@1998marie
April 2019
2
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Développer et réduire les expressions:
A : 3(x-10)(x+10)+(2x+5)(x+10)
B : 4(3x+6)(5x+1)-2(3x-6)^2
Si possible avec toutes les étapes :)
Merci d'avance !
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MrEagle
A = 3(x-10)(x+10)+(2x+5)(x+10)
= 3 * x + 3 * (-10) + 3 * x + 3 * 10 + 2x * x + 2x * 10 + 5 * x + 5 * 10
=
3x
+ (-30) +
3x
+ 30 +
+
20x
+
5x
+ 50
=
31x
+ 50 +
B = 4(3x+6)(5x+1)-2(3x-6)^2
= 4 * 3x + 4 * 6 + 4 * 5x + 4 * 1 -2 * 3x + (-2) * (-6) ^2
=
12x
+
24
+
20x
+
4
-
6x
+
12
^2
= 38x + 40 ^2
1 votes
Thanks 1
remilot
A : 3(x-10)(x+10)+(2x+5)(x+10) = (x+10) [ (3x-30)+(2x+5)] = (x+10) ( 5x-25)
=5 (x+10) (x-5) = 5xcarré + 25x -250
B : 4(3x+6)(5x+1)-2(3x-6)^2 = 4( 15x^2+33x+6) -2 ( 9x^2-36x+36)
=60 x^2 +133x +24-18x^2+72x-72= 42 x^2 +205x - 48
0 votes
Thanks 1
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= 3 * x + 3 * (-10) + 3 * x + 3 * 10 + 2x * x + 2x * 10 + 5 * x + 5 * 10
= 3x + (-30) + 3x + 30 + + 20x + 5x + 50
= 31x + 50 +
B = 4(3x+6)(5x+1)-2(3x-6)^2
= 4 * 3x + 4 * 6 + 4 * 5x + 4 * 1 -2 * 3x + (-2) * (-6) ^2
= 12x + 24 + 20x + 4 - 6x + 12 ^2
= 38x + 40 ^2
=5 (x+10) (x-5) = 5xcarré + 25x -250
B : 4(3x+6)(5x+1)-2(3x-6)^2 = 4( 15x^2+33x+6) -2 ( 9x^2-36x+36)
=60 x^2 +133x +24-18x^2+72x-72= 42 x^2 +205x - 48