Efectúa la operación y simplifique
1) 3[(x + y)^2 - (x - y)^2
2) xy[(x + y)^2 + (x - y)^2]
3) (3a - b)^2 + 3(a + b)^2
4) 3{x^2 - 5[x + 2(3 - 5x)]}
5) 2{a^2 - 2a[3a - 5(a^2 - 2)]} + 7a^ - 3a + 6
Respuesta de CoryAdri Argencanos
1
3[(x+y)^2-(x-y)^2] = 3[x^2+2xy+y^2-(x^2-2xy+y^2)]=3(x^2+2xy+y^2-x^2+2xy-y^2)=3(4xy)=12xy
xy[(x+y)^2+(x-y)^2] = xy(x^2+2xy+y^2+x^2-2xy+y^2)=xy(2x^2+2y^2)=2.y.x^3+2.x.y^3
(3a-b)^2+3(a+b)^2 = 9a^2-6ab+b^2+3(a^2+ab+b^2)=9a^2-6ab+b^2+3a^2+3ab+3b^2= =12a^2-3ab+4b^2
3{x^2 - 5[x+2(3-5x)]} = 3[x^2-5(x+6-10x)] = 3(x^2-5x-30+50x) = 3x^2 -15x -90 +150x = = 3x^2+135x -90
2[a^2-2a(3a-5a^2+10)]+7a^2-3a+6 = 2(a^2 -6a^2+10a^3-20a)+7a^2-3a+6 =
= 2a^2-12a^2+20a^3-40a+7a^2-3a+6 = 20a^3 -3a^2 -43a +6
Suerte.
