Step-by-step explanation:

1.)

2.)

3.)

4.)

5.)

Step-by-step explanation:

1.=5x+5y+5z

=(x+y+z)5

2.)\begin{gathered} = 4 {m}^{2} {n}^{2} - 4m {n}^{3} \\ =( 4m - 4n)4m {n}^{2} \end{gathered}

=4m

2

n

2

−4mn

3

=(4m−4n)4mn

2

3.)\begin{gathered} = 25a + 25b \\ =( a + b)25\end{gathered}

=25a+25b

=(a+b)25

4.)\begin{gathered} = 3 {x}^{2} + 9xy \\ = (x + 3y)3x\end{gathered}

=3x

2

+9xy

=(x+3y)3x

5.)\begin{gathered} = 2x2y + 12xy \\ = (y + 6x)2xy\end{gathered}

=2x2y+12xy

=(y+6x)2xy