Question

02 - Fatorar: a) (a + b) . x + 2(a + b) b) 25x2 + 70x + 49 c) ax2 + 2ax – 3ax2 + ax = d) ay3 + 4by – 16by + 5ay3 = e)by + ax + bx + ay=

Answer 1

Explicação passo-a-passo:

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

b) 25x² + 70x + 49 = (5x)² + 2.5x.7 + 7²

25x² + 70x + 49 = (5x + 7)²

c) ax² + 2ax - 3ax² + ax = 3ax - 2ax²

ax² + 2ax - 3ax² + ax = ax.(3 - x)

d) ay³ + 4by - 16by + 5ay³ = 6ay³ + 12by

ay³ + 4by - 16by + 5ay³ = 6y.(ay² + 2b)

e) by + ax + bx + ay = ax + ay + bx + by

by + ax + bx + ay = a.(x + y) + b.(x + y)

by + ax + bx + ay = (x + y).(a + b)

Answer 2

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

b) 25x² + 70x + 49 = (5x + 7)²

c) ax² + 2ax – 3ax² + ax = -ax.(2x - 3)

d) ay³ + 4by – 16by + 5ay³ = 6y.(ay² - 2b)

e)by + ax + bx + ay = (y + x).(b + a)

Espero ter Ajudado:)