Question

Simplifique as expressões a seguir
a) (b-1)(b+1)+1
b) (×+1)(×-1)-×(ײ+×)
c) (4-3y)(4+3y)+(3y+2)(3y-2)

Answer 1

Resposta:

a) (b-1)(b+1) + 1

b(b+1) - 1(b+1) + 1

b² + b - b - b + 1

b² - b + 1

b) (x+1)(x+1) - x(x²+x)

x(x+1) + 1(x+1) - x³ - x²

x² + x + x + 1 - x³ - x²

x³ + x² - x² + x + x + 1

x³ + x + x + 1

x³ + 2x + 1

c) (4-3y)(4+3y) + (3y+2)(3y-2)

4(4+3y) - 3y(4+3y) + 3y(3y-2) + 2(3y-2)

16 + 12y - 12y - 9y² + 9y² - 6y + 6y - 4

-9y² + 9y² + 12y - 12y - 6y + 6y + 16 - 4

16 - 4

12