过程也要打出来,谢了
(1)[(a+b)+c][(a+b)-c]
(2)[(a-b)+c]²
(3)(x+y+1)(x+y-1)
(4)(a+2b-1)²
(5)(2x+y+z)(2x-y-z)
(6)(2a-3b+1)²
过程也要打出来,谢了
(1)[(a+b)+c][(a+b)-c]
(2)[(a-b)+c]²
(3)(x+y+1)(x+y-1)
(4)(a+2b-1)²
(5)(2x+y+z)(2x-y-z)
(6)(2a-3b+1)²
(1)[(a+b)+c][(a+b)-c]=[(a+b)]2-c2 = a2+2ab+b2-c2= a2+b2-c2+2ab
(2)[(a-b)+c]²=[(a-b)]2+2(a-b)c+c2 = a2-2ab+b2+2ac-2bc+c2
= a2+b2+c2-2ab+2ac-2bc
(3)(x+y+1)(x+y-1)=[(x+y)+1)][(x+y)-1]= [(x+y))] 2 -12= x2+2xy+y2-1
(4)(a+2b-1)²=[(a+2b)-1]² =[(a+2b)]²- 2(a+2b)+12
=a²+2a(2b)+(2b)²- 2a-4b+1=a²+4ab+4b²-2a-4b+1
=a²+4b²+4ab-2a-4b+1
(5)(2x+y+z)(2x-y-z)=[2x+(y+z)][2x-(y+z)]= (2x) 2 -(y+z)2
= 4x2-(y 2 +2yz+z 2)= 4x2-y 2 -z 2-2yz
(6)(2a-3b+1)²=[(2a-3b)+1)] 2 = (2a-3b)2+2(2a-3b)+1
=(2a)2-2(2a)(3b)+(3b)2+4a-6b+1
=4a2-12ab+9b2+4a-6b+1=4a2+9b2-12ab+4a-6b+1