(3)多項式の加法(解答) 学習日    月    日(   )
多項式どうしの足し算 → すべての項を加える   縦書きの計算 → 上下で同類項をそろえる
  (2x+1)+(3x−5)
  =2x+1+3x−5
  =2x+3x+1−5
  =5x−4
   2x+1
    +)3x−5
 5x−4
 
次の計算をしなさい。
1  (3x+2)+(5x+1) = 3x+5x+2+1
  =
8x+3
 
2  (4x+3)+(2x−1) = 4x+2x+3−1
  =
6x+2
 
3  (4x−1)+(x+5) = 4x+x−1+5
  =
5x+4
 
4  (7x−3)+(3x−6) = 7x+3x−3−6
  = 10x−9
 
5  (2x+4)+(7x−3) = 2x+7x+4−3
  = 9x+1
 
6  (x+2)+(8x+9) = x+8x+2+9
  = 9x+11
 
7  (5x+8)+(−3x−8)= 5x−3x+8−8
  =
2x
 
8  (6x−5)+(2x+3) = 6x+2x−5+3
  = 8x−2
 
9  (2x+7)+(−4x+1) = 2x−4x+7+1
  = −2x+8
   
10  (3x−4)+(4x−3) = 3x+4x−4−3
  = 7x−7
  
11  (8a−3)+(2a+1) = 8a+2a−3+1
  = 10a−2
  
12  (5y+2)+(5y−7) = 5y+5y+2−7
  = 10y−5
 
13  (x−5y)+(4x−3y)= x+4x−5y−3y
  = 5x−8y
 
14  (3x+2y+4)+(x−3y−1)
  = 3x+x+2y−3y+4−1
  = 4x−y+3
15  (5x2−3x+1)+(5x2+3x−2)
  = 5x2+5x2−3x+3x+1−2
  = 10x2−1
16  (a2+ab+3b2)+(−a2+ab−2b2)
  = a2−a2+ab+ab+3b2−2b2
  = 2ab+b2
17
3x+1
+)2x+4
5x+5
18
4x+8
+)5x−2
9x+6
19
−3a+1
+ )2a+4
−a+5
20
9x−3y+2
+)−7x+2y+1
2x− y+3

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