(5)一般型の展開 2(解答) 学習日    月    日(   )
 乗法公式 3(一般型の展開)     (x+2y)(x+3y)
  =x2+(2+3)xy+2・3y2
  =x2+5xy+6y2 
(xay)(xby)=x2+(ab)xyaby2
           和    積
 
乗法公式を使って,次の式を展開しなさい。
1  (x+2y)(x+4y) = x2+6xy+8y2
 
 (x+5y)(x+7y) = x2+12xy+35y2
 
 (x+4y)(xy) = x2+5xy+4y2
 
 (x+8y)(x+3y) = x2+11xy+24y2
 
 (a+3b)(a+2b) = a2+5ab+6b2
 
 (ab)(a+5b) = a2+6ab+5b2
 
 (x−2y)(x−6y) = x2−8xy+12y2
  
 (x−5y)(x−4y) = x2−9xy+20y2
  
 (a−7b)(a−9b) = a2−16ab+63b2
 
10  (ab)(a−2b) = a2−3ab+2b2
 
11  (x+4y)(x−2y) = x2+2xy−8y2
  
12  (xy)(x+2y) = x2xy−2y2
  
13  (xy)(x−3y) = x2−2xy−3y2
  
14  (x−6y)(x−8y) = x2−14xy+48y2
  
15  (a−7b)(a+4b) = a2−3ab−28b2
 
16  (a+20b)(a+30b) = a2+50ab+600b2
 
17  (2x+3)(2x+5) = (2x)2+8(2x)+15
  = 4x2+16x+15
  
18  (3x+1)(3x−2) = (3x)2−(3x)−2
  = 9x2−3x−2
  
19  (5a−1)(5a−2) = (5a)2−3(5a)+2
  = 25a2−15a+2
  
20  (2y−7)(2y+4) = (2y)2−3(2y)−28
  = 4y2−6y−28
  

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