Réponse :
1) Utulisons la formule (a-b)²=a²-2ab+b²
A = (2x-2)²-(3-2x)² = (4x²-8x+4) - (9-12x+4x)² = 4x²-8x+4-9+12x-4x² = 4x-5
Ulisions la formule (a+b)(a-b) = a²-b²
A = (2x-2)²-(3-2x)² = ((2x-2)+(3-2x))((2x-2)-(3-2x)) = (2x-2+3-2x)(2x-2-3+2x) = 1(4x-5) = 4x-5
2)Utilisons la formule (a-b)² = a²-2ab+b²
B = (5/2a-4/3b)² = 25/4a²-2*5/2a*4/3b+16/9b² = 25/4a²-(2*5*4)/(2*3)ab+16/9b² = 25/4a²-40/6ab+16/9b² = 25/4a²-20/3ab+16/9b²
Explications étape par étape :
Copyright © 2024 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Verified answer
Réponse :
1) Utulisons la formule (a-b)²=a²-2ab+b²
A = (2x-2)²-(3-2x)² = (4x²-8x+4) - (9-12x+4x)² = 4x²-8x+4-9+12x-4x² = 4x-5
Ulisions la formule (a+b)(a-b) = a²-b²
A = (2x-2)²-(3-2x)² = ((2x-2)+(3-2x))((2x-2)-(3-2x)) = (2x-2+3-2x)(2x-2-3+2x) = 1(4x-5) = 4x-5
2)Utilisons la formule (a-b)² = a²-2ab+b²
B = (5/2a-4/3b)² = 25/4a²-2*5/2a*4/3b+16/9b² = 25/4a²-(2*5*4)/(2*3)ab+16/9b² = 25/4a²-40/6ab+16/9b² = 25/4a²-20/3ab+16/9b²
Explications étape par étape :