1)(a+b)(a+b+2)-(a-b)(a-b-2)
2)a(a+2)+b(b+2)-2(a+1)(b+1)+1
3)(a+b)(a+b+2)+(a-b)(a-b+2)+2(a+b+1)(a-b-1)-2
2)a(a+2)+b(b+2)-2(a+1)(b+1)+1
3)(a+b)(a+b+2)+(a-b)(a-b+2)+2(a+b+1)(a-b-1)-2
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Answers & Comments
2)((1/а-1/b)/(a-b)^2)/((a+b)^2-a^2-b^2=
(1/a-1/b)*((a+b)^2-a^2-b^2)/(a-b)^2)=
(1/a-1/b)*((a^2+2ab+b^2-a^2-b^2)/(a-b)^2)=
((1/a-1/b)*(2ab/(a-b)^2)=
((b-a)/ab)*(2ab/(a-b)^2)=
(-(a-b)/ab) *(2ab/(a-b)^2)=
-2/(а-b) =
2/(b-a)
Ответ: 2/(b-a)
3) (a+b/a^2-ab-1/a):b/b-a
a(b/a-b-1):b/b-a (a-сокращаем)
(b/a-b-1):b/b
1) b-ab-a=b-ab
a
2) b-ab:b/b=ab(умноженная) b
3)0.5(умножен)7-2(умножен)7-2= -12,5
ответ: -12,5
(a + b)2 = a2 + 2ab + b2,
(a – b)2 = a2 – 2ab + b2,
a3 + b3 = (a + b)(a2 – ab + b2),
a3 – b3 = (a – b)(a2 + ab + b2),
an – bn = (a – b)(an – 1 + an – 2b + an – 3b2 + … + abn – 2 + bn – 1),
(a + b)3 = a3 + 3a2b + 3ab2 + b3 = a3 + b3 + 3ab(a + b),
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b).