a) 3x + 2y

b) 6x² + 8x = 2x (3x + 4)

c) 16m² - 8m = 8m (2m - 1)

d) 27ax - 5ay = a (27x - 5y)

e) 4x³ - 8x² + 12x = 4x (x² - 2x + 3)

f) 9x² + 6x - 18 = 3 (3x² + 2x - 9)

g) 6xy + 12xz + 18x = 6x (y + 2z + 3)

[tex] \pink{a)3x + 2y} \\ \pink{3x + 2y} \\ \pink{3x + 2y} \\ \orange{resposta}\\ \red{3x + 2y} \\ \\ \pink{b)6x {}^{2} + 8x}\\ \pink{6x {}^{2} + 8x} \\ \pink{2x \times (3x + 4)} \\ \orange{resposta} \\ \red{2x \times (3x + 4)} \\ \\ \pink {c)16m {}^{2} - 8m} \\ \pink{16m {}^{2} - 8m} \\ \pink{8m \times (2m - 1)} \\ \orange{resposta} \\ \red{8m \times (2m - 1)} \\ \\ \pink{d)27ax - 5ay} \\ \pink{27ax - 5ay} \\ \pink{a \times (27x - 5y)} \\ \orange{resposta} \\ \red{a \times (27x - 5y)} \\ \\ \pink{e)4x {}^{3} - 8x {}^{2} + 12x} \\ \pink{4x {}^{3} - 8x {}^{2} + 12x} \\ \pink{4x \times (x {}^{2} - 2x + 3)} \\ \orange{resposta} \\ \red{4x \times (x {}^{2} - 2x + 3) } \\ \\ \pink{f)9x {}^{2} + 6x - 18 } \\ \pink{9x {}^{2} + 6x - 18 } \\ \pink{3(3x {}^{2} + 2x - 6)} \\ \orange{resposta} \\ \red{3(3x {}^{2} + 2x - 18)} \\ \\ \pink{g)6xy + 12xz + 18y} \\ \pink{6xy + 12xz + 18y} \\ \pink{6(xy + 2xz + 3y)} \\ \orange{resposta} \\ \red{6(xy + 2xz + 3y)} \\\purple{espero \: ter \: te \: ajudado}[/tex]