Question

(60) Teste suas habilidades na multiplicação de polinômios.
(a) (x+2)(×+3)
(b) (a-2)(a-7)
(c) (y+6)(y-6)
(d) (2x-5)(3x-2)
(e) (1-2x)(4+3x)
(f) (-×+4)(×+5)
(g) (2x+y)(x-y)
(h) (xy-7)(xy+6)
{obs: se a resposta estiver com a conta armada vai me ajudar mais}.

Answer 1

a)  (x+2)(×+3)= x²+5x+6
(b) (a-2)(a-7)= a²-9a+14
(c) (y+6)(y-6)= y²-36
(d) (2x-5)(3x-2)= 6x²-19x+10
(e) (1-2x)(4+3x)= 4+3x-8x-6x²= -6x²-5x+4
(f) (-×+4)(×+5)= -x²-5x+4x+20= -x²-x+20
(g) (2x+y)(x-y)= 2x²-2xy+xy-y²= 2x²-y²-xy
(h) (xy-7)(xy+6)= x²y²+6xy-7xy-42=x²y²-xy-42

Answer 2

(a) (x+2)(×+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

4 - 5x - 6x²

- 6x² - 5x + 4

(f) (-×+4)(×+5)

- x² - 5x + 4x + 20

- x² - x + 20

(g) (2x+y)(x-y)

2x² - 2xy + xy - y²

2x² - xy - y²

(h) (xy-7)(xy+6)

x²y² + 6xy - 7xy - 42

x²y² - xy - 42