Question

EFETUE AS MULTIPLICACOES DE POLIGONO;

A-) (X+2).(X+3)
B-) (A-2).(A-7)
C-) (Y+6).(Y-6)
D-) (2X-5).(3X-2)
E-) (1-2X).(4+3X)
F-) (-X+4).(X+5)
G- (2X+Y).(X-Y)

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Answer 1

A-) (X+2).(X+3)
  x² + 3x +2x +6
        x² +5x +6

B-) (A-2).(A-7)
   A² - 7A - 2A +14
   A² - 9A  +14  

C-) (Y+6).(Y-6)
    Y² - 6Y+6Y -36
   Y² -36

D-) (2X-5).(3X-2)

6X² - 4X - 15X +10
6X² - 19X +10

E-) (1-2X).(4+3X)

4 +3X - 8X - 6X²
- 6X² - 5X+ 4  -----LOGO  a sendo negativo vamos multiplicar por  -1 então fica assim:
6x² + 5x - 4

F-) (-X+4).(X+5)

-x² -5x +4x+ 20
-x² - x +20  ---- multiplicado por  -1 temos:
 x² +x -20

G- (2X+Y).(X-Y)
2x² - 2xy +xy - Y²
2x² - xy - y²

Answer 2

A)(x+2)(x+3)
x^2+3x+2x+6
x^2+5x+6
x=-5+,-\/5^2-4(1)(6)/2(1)
x=-5+,-\/25-24/2
x=-5+,-\/1/2
x=-5+,-1/2
x1=-5+1/2》x1=-4/2》x1=-2
x2=-5-1/2》x2=-6/2》x2=-3
B)(A-2)(A-7)
A^2-7A-2A+14
A^2-9A+14
A=-14+,-\/14^2-4(1)(9)/2(1)/2(1)
A=-14+,;\/196-36/2
A=-14+,-\/160/2
A=-14+,-\/16x10/2
A=-14+,;4\/10/2
A=-14+,-4(3,16)/2
A=-14+,-12,64/2
A1=-14+12,64/2》A1=;1,36/2》A1=-0,68
A2=-14-12,64/2》A2=-26,64/2》A2=-13,32
C)(y+6)(y-6)
y^2-6y+6y-36
y^2-36
y=+,-\/36
y=+,- 6
D(*2x-5)(3x-2)
6x^2-4x-15x+10
6x^3-19x+10
x=19+,-\/-19^2-4(6)(10)/2(6)
x=19+,-\/361-24(10)/12
x=19+,-\/361-240/12
x=19+,-\/121/12
x=19+,-11/12
x1=19+11/12》x1=30/12》x1=2,5
x2=19-11/12》x2=8/12(÷2)》x2=4/6(÷2)》x2=2/3
E)(1-2x)(4+3x)
4+3x-8x-6x^2
4-5x-6x^2
-6x^2-5x+4(-1)
6x^2+5x-4
x=-5+,-\/5^2-4(6)(-4)/2(6)
x=5+,-\/25-4(-24)/12
x=5+,-\/25+24/12
x=5+,-\/49/12
x=5+,-7/12
x1=5+7/12》x1=12/12》x1=1
x2=5-7/12》x2=-2/12(÷2)》x2=1/6
F)(-x+4)(x+5)
-x^2-5x+4x+20(-1)
x^2+x-20
x=-1+,-\/1^2-4(1)(-20)/2(1)
x=-1+,-\/1-4(-20)/2
x=-1+,-\/1+80/2
x=-1+,-\/81/2
x=-1+,-9/2
x1=-1+9/2》x1=8/2》x1=4
x2=-1-9/2》x2=-10/2》x2=-5
G)(2x+y)(x-y)
2x^2-2xy+yx-y^2
2x^2-xy;y^2