Question

coloque na forma fatorada as expressões :9x^2-12a+4
9+24a+16b^2

Answer 1

$

Ola Viih

9a² - 12a + 4 = (3a - 2)²

16a² + 24a + 9 = (4a + 3)²

pronto

Answer 2

Resp.: 

a)
(3a - 2)²

b)
(3 + 4a)²
*************************
a)

9a² - 12a + 4
(3a)²          2²


= (3a - 2)²
----------------------------------------
9 + 24a + 16a² 

3²            +  (4a)²

= (3 + 4a)²

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
Passo a passo:

Deve ter a mesma "letra":

a)
(3a - 2)² = (3a - 2).(3a - 2)

= (3a - 2).(3a - 2)
= 3a.3a - 2.3a - 2.3a - 2.(-2)
= 9a² - 12a + 4
*****************************************
b)
(3 + 4a)² = (3 + 4a).(3 + 4a)

9 + 24a + 16a² = 

(3 + 4a).(3 + 4a) = 9 + 12a + 12a + 16a² = 9 + 24a + 16a²