اﻟﺘﻌﻤﻴﻞ و اﻟﻨﺸﺮ_اﻧ اﻟﻬﺎﻣﺔ اﻟﻤﺘﻄﺎﺑﻘﺎتﺠﺎز:اﻹﻋﺪادﻳﺔ اﻟﺜﺎﻧﻮﻳﺔ ﺷﻬﺒﻲ ﻋﺰاﻟﺪﻳﻦ اﻷﺳﺘﺎذ:اﻟﻔﻄﻮاآﻲ ﺣﻤﺎن
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اﻟﻬﺎﻣﺔ اﻟﻤﺘﻄﺎﺑﻘﺎت – اﻟﺘﻌﻤﻴﻞ و اﻟﻨﺸﺮ
I(اﻟﻨـﺸـــﺮ
ﺗﻌﺮﻳﻒ
ﻓﺮق أو ﻣﺠﻤﻮع ﺷﻜﻞ ﻋﻠﻰ آﺘﺎﺑﺘﻪ هﻮ...
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اﻟﺘﻌﻤﻴﻞ و اﻟﻨﺸﺮ_اﻧ اﻟﻬﺎﻣﺔ اﻟﻤﺘﻄﺎﺑﻘﺎتﺠﺎز:اﻹﻋﺪادﻳﺔ اﻟﺜﺎﻧﻮﻳﺔ ﺷﻬﺒﻲ ﻋﺰاﻟﺪﻳﻦ اﻷﺳﺘﺎذ:اﻟﻔﻄﻮاآﻲ ﺣﻤﺎن
www.
madariss.
fr
اﻟﻬﺎﻣﺔ اﻟﻤﺘﻄﺎﺑﻘﺎت – اﻟﺘﻌﻤﻴﻞ و اﻟﻨﺸﺮ
I(اﻟﻨـﺸـــﺮ
ﺗﻌﺮﻳﻒ
ﻓﺮق أو ﻣﺠﻤﻮع ﺷﻜﻞ ﻋﻠﻰ آﺘﺎﺑﺘﻪ هﻮ ﺟﺪاء ﻧﺸﺮ
1(ﻗـﻮاﻋـﺪ:aوbوcوdوkﺣﻘﻴﻘﻴﺔ أﻋﺪاد.
k × (a + b) = k × a + k × bk × (a – b) = k × a – k × b
(a + b) (c + d) = a × c + a × d + b × c + b × d
2(أﻣـﺜـﻠـﺔ:
II(اﻟﻬﺎﻣﺔ اﻟﻤﺘﻄﺎﺑﻘﺎت
1(ﻗـﻮاﻋـﺪ:aوbﺣﻘﻴﻘﻴﺔ أﻋﺪاد.
(a + b)² = a² + 2ab + b²
(a - b)² = a² – 2ab + b²
(a + b) (a – b) = a² – b²
2(أﻣـﺜـﻠـﺔ:
C = (x + 4) (x – 4)
C = x² – 4²
C = x² – 16
B = (x – 7)²
B = x² – 2 × x × 7 + 7²
B = x² – 14x + 49
A = (x + 9)²
A = x² + 2 × x × 9 + 9²
A = x² + 18x +81
F = (2x – 9) (2x + 9)
F = (2x)² – 9²
F = 4x² – 81
E = (4x – 5)²
E = (4x)² – 2 × 4x × 5 + 5²
E = 16x² – 40x + 25
D = (2x + 3)²
D = (2x)² + 2 × 2x × 3 + 3²
D = 4x² + 12x +9
C = (3x + 2) (5x + 6)
C = 15x² + 18x + 10x + 12
C = 15x²
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