Question

1. Fatore as expressões algébricas.
a) x² – 81
c) 16a² - 64b²
b) z⁴ – x²y*
d) 36a*8 - 1/4 b²

2. Fatore os trinômios abaixo.
a) x² + 2xy + y²
b) x² – 12x + 36
c) x² - 6x + 9
d) 4x² + 16x + 16
e) 1/4 x² + 2x + 4
+ x² - 2/3 x + 1/9​

Answer 1

1.

a) x² – 81 = (x+9).(x-9)

c) 16a² - 64b² = (4a+8b).(4a-8b)

b) z⁴ – x²y* = ?

d) 36a^8 - 1/4 b² = (6a⁴+1/2b)(6a⁴-1/2b)

2.

a) x² + 2xy + y² = (x+y)²

b) x² – 12x + 36 =(x-6)²

c) x² - 6x + 9 = (x-3)²

d) 4x² + 16x + 16 = (2x+4)²

e) 1/4 x² + 2x + 4 = (1/2 x + 2)²

+ x² - 2/3 x + 1/9 = (x - 1/3)²