Respuesta:
Problema 1: C
Problema 2: A
Problema 3: B
Problema 4: A
Explicación paso a paso:
Problema 1: (2x -3[tex])^{2}[/tex] = [tex](2x)^{2}[/tex] - 2 x 2x x 3 + [tex]3^{2}[/tex]
[tex]4x^{2}[/tex] - 12x + 9
Problema 2: (3x - y) x (3x + y) +[tex]y^{2}[/tex] Simplifica producto
9 [tex]x^{2}[/tex] - [tex]y^{2}[/tex] +[tex]y^{2}[/tex] Remueve los opuestos
[tex]9x^{2}[/tex]
Problema 3: (x+ 4)(x - 1) - [tex]x^{2}[/tex] - 3x Multiplica paréntesis
[tex]x^{2}[/tex] - x + 4x - 4- [tex]x^{2}[/tex] - 3x Se remueven los opuestos
-x + 4x - 4 -3x Se agrupan términos semejantes
0 - 4
-4
Problema 4: [tex](a+b)^{2}[/tex] = (6) al cuadrado
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] + 2ab = 36
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] + 2(2)= 36
[tex]a^{2}[/tex] +[tex]b^{2}[/tex] = 32
#1
(2x-3)^2 = (2x-3) (2x-3)
4x^2-6x-6x+9
4x^2-12x+9
#2
(3x-y) (3x+y) + y^2
9x^2+3xy-3xy-y^2+y^2
9x^2
#3
(x+4) (x-1) - x^2 - 3x
x^2-x+4x-4-x^2-3x
-x+4x-4-3x
4x-4x-4
#4
a+b=6
ab=2
(a+b)^2 = (6)^2
a^2+ab+ab+b^2 = 36
a^2+2ab+b^2 = 36
a^2+2(2)+b^2 = 36
a^2+4+b^2 = 36
a^2+b^2=36-4
a^2+b^2=32
32
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Verified answer
Respuesta:
Problema 1: C
Problema 2: A
Problema 3: B
Problema 4: A
Explicación paso a paso:
Problema 1: (2x -3[tex])^{2}[/tex] = [tex](2x)^{2}[/tex] - 2 x 2x x 3 + [tex]3^{2}[/tex]
[tex]4x^{2}[/tex] - 12x + 9
Problema 2: (3x - y) x (3x + y) +[tex]y^{2}[/tex] Simplifica producto
9 [tex]x^{2}[/tex] - [tex]y^{2}[/tex] +[tex]y^{2}[/tex] Remueve los opuestos
[tex]9x^{2}[/tex]
Problema 3: (x+ 4)(x - 1) - [tex]x^{2}[/tex] - 3x Multiplica paréntesis
[tex]x^{2}[/tex] - x + 4x - 4- [tex]x^{2}[/tex] - 3x Se remueven los opuestos
-x + 4x - 4 -3x Se agrupan términos semejantes
0 - 4
-4
Problema 4: [tex](a+b)^{2}[/tex] = (6) al cuadrado
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] + 2ab = 36
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] + 2(2)= 36
[tex]a^{2}[/tex] +[tex]b^{2}[/tex] = 32
Respuesta:
#1
(2x-3)^2 = (2x-3) (2x-3)
4x^2-6x-6x+9
4x^2-12x+9
#2
(3x-y) (3x+y) + y^2
9x^2+3xy-3xy-y^2+y^2
9x^2
#3
(x+4) (x-1) - x^2 - 3x
x^2-x+4x-4-x^2-3x
-x+4x-4-3x
4x-4x-4
-4
#4
a+b=6
ab=2
(a+b)^2 = (6)^2
a^2+ab+ab+b^2 = 36
a^2+2ab+b^2 = 36
a^2+2(2)+b^2 = 36
a^2+4+b^2 = 36
a^2+b^2=36-4
a^2+b^2=32
32