Resposta:
a)
[tex]3a + 6b \\ \\ \large \boxed{ \green{3(a + 2b)}}[/tex]
b)
[tex]x^2y+xz \\ \\ \large\boxed{ \green{x(xy + z)}}[/tex]
c)
[tex]15m + 5 {m}^{2} \\ \\ \large\boxed{ \green{5m(3 + m)}}[/tex]
d)
[tex]x^2-36 \\ \\ \large\boxed{ \green{(x - 6)(x + 6)}}[/tex]
e)
[tex]9x^2-100 \\ \\ \large \boxed{ \green{ (3x + 10)(3x - 10)}}[/tex]
f)
[tex]x^2-5x \\ \\ \large \boxed{ \green{x(x - 5)}}[/tex]
g)
[tex]a^2-9b^2 \\ \\ \large\boxed{ \green {(a + 3b)(a - 3b)}}[/tex]
h)
[tex]x^2-8x+16 \\ \\ \large\boxed{ \green{ (x - 4) {}^{2} }}[/tex]
i)
[tex]a^2+2a+1 \\ \\ \large\boxed{ \green{( {a + 1)}^{2} }}[/tex]
j)
[tex]y^2-16y+64 \\ \\ \large \boxed{ \green{ ( {y - 8)}^{2} }}[/tex]
k)
[tex]9x^2+24x+16 \\ \\ \large \boxed{ \green{ ( {3x + 4)}^{2} }}[/tex]
l)
[tex]25-b^2 \\ \\ \large \boxed{ \green{ (5 + b)(5 - b)}}[/tex]
m)
[tex]ay+by+2a+2b \\ \\ y(a + b) + 2(a + b) \\ \\ \large \boxed{ \green{(a + b)(y + 2)}}[/tex]
n)
[tex]3y+3+xy+x \\ \\ 3(y + 1) + x(y + 1) \\ \\ \large \boxed{ \green{(y + 1)(3 + x)}}[/tex]
o)
[tex]x^3+x^2+x \\ \\ \large \boxed{ \green{ x( {x}^{2} + x + 1)}}[/tex]
p)
[tex]4x^2+20xy+25y^2 \\ \\ \large \boxed{ \green{( {2x + 5y)}^{2} }}[/tex]
[tex] \Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}}}[/tex]
