Question

Olá
]
Me ajudemm, please!
Fatore a expressão 9x2 - 4y2
A)(x +y) (x - y)
B) (3x +2y) (3x - 2y)
C) (3x + y) (3x - y)
D) (x +2y) (x - 2y)
E) (x - 2y) (x - 2y)

Answer 1

    1) {x+y=20    x=20-y

    {x-3y=-12  20 - y -3y=-12  -4y=-12-20 -y=-32/4 y=8  x+8=20 x=12

2) {x-2y=0     x=2y

   {2x-5y=3    2(2y)-5y=3 4y-5y=3 -y=3 y=-3     x-2(-3)=0 x=-6

3){-6x+y=0   y=6x

{3x-2y=54     3x-2(6x)=54  3x+12x=54 x=54/15 x=3,6   y=21,6

4){2x-y=3     -y=3-2x y=-3+2x

{3x+2y=8      3x+2(-3+2x)=8  3x-6+4x=8 7x=8+6 7x=14 x=2    2.2-y=3 -y=3-4 y=1

5){-x+2y=12    -x=12-2y x=-12+2y

{3x+8y=31       3(-12+2y) + 8y =31  -36+6y +8y=31 14y=31+36 y=67/14 y=4,7 -                                 x+2(4,7)=12 x=12-9,4 x=2,6

Answer 2

Resposta:

(3x +2y) (3x - 2y)

Explicação passo a passo:

x2 - y2 = (x + y) (x - y)

9x2 = (3x)2

4y2 = (2y)2

9x2 - 4y2 = (3x + 2y)(3X - 2y)