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leadu894
@leadu894
June 2021
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pourriez-vous me calculer : (2x+1)(au carré)-(x-2)(au carré)
Merci d'avance.
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nonotata
(2x+1)² -(x-2)²
identite remarquable de la forme
(a+b)² =a²+2ab+b²
(a-b)² =a²-2ab+b²
donc
4x²+2x+1 -(x²-4x+4)
4x²+2x+1-x²+4x-4
3x²+6x-3
0 votes
Thanks 1
leenna25
(2x+1)²-(x-2)² = (2x)²+2*2x*1+1² = 4x²+4x+1
- x²-2² = x²-4
= 4x²+4x+1-x²-4 = 3x²+4x-3
0 votes
Thanks 1
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identite remarquable de la forme
(a+b)² =a²+2ab+b²
(a-b)² =a²-2ab+b²
donc
4x²+2x+1 -(x²-4x+4)
4x²+2x+1-x²+4x-4
3x²+6x-3
- x²-2² = x²-4
= 4x²+4x+1-x²-4 = 3x²+4x-3