Question

FATORE CADA CASO URGENTE

Answer 1

Explicação passo-a-passo:

f)

2x + ay + 2y + ax

= ax + 2x + ay + 2y

= x.(a + 2) + y.(a + 2)

= (a + 2).(x + y)

g)

y³ - 3y² - 4y - 12

= y².(y - 3) - 4.(y - 3)

= (y - 3).(y² - 4)

= (y - 3).(y - 2).(y + 2)

h)

x² - 10x + 25

= x² - 5x - 5x + 25

= x.(x - 5) - 5.(x - 5)

= (x - 5).(x - 5)

= (x - 5)²

i)

3x² + 6x + 3

= 3.(x² + 2x + 1)

= 3.(x² + x + x + 1)

= 3.[x.(x + 1) + 1.(x + 1)]

= 3.(x + 1).(x + 1)

= 3.(x + 1)²

j)

16x² + 24xy + 9y²

= 16x² + 12xy + 12xy + 9y²

= 4x.(4x + 3y) + 3y.(4x + 3y)

= (4x + 3y).(4x + 3y)

= (4x + 3y)²