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Lulu88390
@Lulu88390
May 2019
1
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Bonjour voici un problème
Calculer (2V5-3)(V3+V5)-(V3+V5)²
V signifie racine carré
Voila merci d avance
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Stiaen
Verified answer
Bonjour,
(2√5 - 3)(√3 + √5) -
(√3 + √5)² -> Forme (a + b)² = a² + 2
*
a*b + b²
<=> (2√5 - 3)(√3 + √5) - (√3)² + 2*√3*√5 + (√5)²
<=> (2√5 - 3)(√3 + √5) - (
3
+ 2√15 +
5
)
<=> (2√
5
*√
3)
+ (2√
5
*√
5)
- (3*√3) - (3*√
5)
- (
8
+ 2√15)
<=>
2√15
+
2*5
- 3√3 - 3√5
- 8
-
2√15
<=> 2 - 3√3 - 3√5
Résultat final:
2 - 3√3 - 3√5
2 votes
Thanks 1
Stiaen
De rien ;)
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Verified answer
Bonjour,(2√5 - 3)(√3 + √5) - (√3 + √5)² -> Forme (a + b)² = a² + 2*a*b + b²
<=> (2√5 - 3)(√3 + √5) - (√3)² + 2*√3*√5 + (√5)²
<=> (2√5 - 3)(√3 + √5) - (3 + 2√15 + 5)
<=> (2√5*√3) + (2√5*√5) - (3*√3) - (3*√5) - (8 + 2√15)
<=> 2√15 + 2*5 - 3√3 - 3√5 - 8 - 2√15
<=> 2 - 3√3 - 3√5
Résultat final: 2 - 3√3 - 3√5