Page 55 - math 12

: ﺔﻴﺗﻻﺍ ﺔﱢﻳﺮﺒﺠﻟﺍ ﺮﻳﺩﺎﻘﻤﻟﺍ ﺡﺮﻁ َﺞﺗﺎﻧ ْﺪﺟ (5) ﻝﺎﺜﻣ
ِ
i) (3 2 xy -|-2|zw - 4 r v ) , ( 2 2 xy-10zw+4r v )
2 2
2 2
= (3 2 xy -|-2|zw - 4 r v ) - ( 2 2 xy-10zw+4r v ) ﻝﻭﻻﺍ ﻦﻣ ﻲﻧﺎﺜﻟﺍ ﺭﺍﺪﻘﻤﻟﺍ ﺡﺮﻁﺍ
2 2
2 2
= (3 2 xy - 2zw - 2r v ) + (- 2 2 xy + 10zw) - (4r v )) ﻲﻌﻤﺠﻟﺍﺮﻴﻈﻨﻟﺍ ﺔﻓﺎﺿﺍ
ُ
2 2
2 2
= (3 2 xy - 2 2 xy) + ( -2zw+10zw) + ( -2r v - 4r v ) ﺔﻬﺑﺎﺸﺘﻤﻟﺍ ﺩﻭﺪﺤﻟﺍ ُﻊﻤﺟﺍ
2 2
2 2
= 2 xy+8zw-6r v
2 2
ii) (3x - 15y - 6) - (7x -9y + 6)
2
2
= (3x -15y -6) + (-7x + (+9y) + (-6)) ﺔﻬﺑﺎﺸﺘﻤﻟﺍ ﺩﻭﺪﺤﻟﺍ ُﻊﻤﺟﺍ
2
2
= (3x + (-7x )) + (-15y + 9y) + (-6 - 6)
2
2
= -4x - 6y - 12
2

ُ
(2m - 2m -6) ﺎﻬﺘﺣﺎـﺴﻣ ﻞﻜﺸﻟﺍ ﺔﻌﺑﺮﻣ ٌﺓﺭﻮﻓﺎـﻧ (6) ﻝﺎﺜﻣ
2
ﻞـﻜﺸﻟﺍ ﺔﻠﻴﻄﺘﺴﻣ ﺔﻘﻳﺪﺣ ﻒﺼﺘﻨﻣ ﻲﻓ ُﻊﻘﺗ ﻊﺑﺮﻣﺮﺘﻣ
ُ
ﺔﺣﺎﺴﻣ ﺎﻣ ﻊﺑﺮﻣ ﺮﺘﻣ (3m - 4m + 5) ﺎﻬﺘﺣﺎﺴﻣ
2
؟ﺓﺭﻮﻓﺎﻨﻟﺎﺑ ﺔﻄﻴﺤﻤﻟﺍِ ﺔﻘﻳﺪﺤﻟﺍ
ُ
2
2
(3m - 4m +5) - (2m - 2m -6) ﺔﻘﻳﺪﺤﻟﺍ ﺔﺣﺎﺴﻣ
ُ
= (3m - 4m +5) + (-2m + 2m +6) ﻲﻌﻤﺠﻟﺍ ﺮﻴﻈﻨﻟﺍ ﺔﻓﺎﺿﺍ
2
2
ﱢ
= (3m - 2m )+ (-4m +2m)+(5 + 6) ﺔﻬﺑﺎﺸﺘﻤﻟﺍ ﺩﻭﺪﺤﻟﺍ ﻊﻤﺟﺍ
2
2
2
= m - 2m + 11 ﺭﺍﺪﻘﻤﻟﺍ ُﺪﺟﺍ
ًﺎﻌﺑﺮﻣ ﺍﺮﺘﻣ m - 2m +11 ﺓﺭﻮﻓﺎﻨﻟﺎﺑ ﺔﻄﻴﺤﻤﻟﺍ ﺔﻘﻳﺪﺤﻟﺍ ﺔﺣﺎﺴﻣ ﺍﺬﻟ
ً
2
:ﺔﻴﺗﻻﺍ ِﺔﱢﻳﺮﺒﺠﻟﺍ ﺮﻳﺩﺎﻘﻤﻟﺍ ﻊﻤﺟ ْﺪﺟ َﻚـِﻤﻬﻓ ﻦﻣ ْﺪـﱠﻛﺄﺗ
ِ
2 2 3
2 2 1
1 (20x y + z w +5 ) , (20x y + z w +10)
2
3
3
2
2 2 (1 - 3) ﺔﻠﺌﺳﻷﺍ
2 ( 2 h +2k y +9) , ( 2 2 h + k y +6) 1-2 ﻦﻴﻟﺎﺜﻤﻠﻟ ﺔﻬﺑﺎﺸﻣ
3
2
2
3
3 2 1
3 (|- 5 |m n + r v + 3) , (5 5 m n + 2r v + 4)
3 2
2 2
2 2
5
:ﺔﻴﺗﻻﺍ ِﺔﱢﻳﺮﺒﺠﻟﺍ ﺮﻳﺩﺎﻘﻤﻟﺍ َﺡﺮﻁ ْﺪﺟ
ِ
2 2 1
2 2 2
4 (7m n + y + 7 ) , (6m n + y + 2 7 ) (4 - 6) ﺔﻠﺌﺳﻷﺍ
2
2
3 9
5 (8a b +10z - 4) , ( 2a b + 5z + 3) 4-5 ﻦﻴﻟﺎﺜﻤﻠﻟ ﺔﻬﺑﺎﺸﻣ
3
3
6 ( 1 hk + 2y - 9) , (5hk - y -8)
25
5x + y + 4 ﺭﻭﺎﺠﻤﻟﺍ ﻞﻜﺸﻟﺍ ﻂﻴﺤﻣ ﺎﻣ 7
(7) ﻝﺍﺆﺴﻟﺍ
3x + 3 3x + 3
3 ﻝﺎﺜﻤﻠﻟ ﺔﻬﺑﺎﺸﻣ
2x + y + 2
54