Easy math please help ? 10 points

EXTRA :FACTORING BY GROUPING

2/3bc-14/3b +c -7

n^ + 2n +3mn +6m

2ax^+bx^-2ay^-by^

yz^-y cubed +z cubed -y^z

y cubed -y^-4y+4

x^a +x^b-16a-16b

I'd really appreciate it if you showed the work so i will know how to do them in the future thanks a million :D

2/3bc-14/3b +c -7

n^ + 2n +3mn +6m
= (n^2 +2n) + (3mn +6m)
= n(n+2) + 2m(n+2)
= (n+2m)(n+2)

2ax^+bx^-2ay^-by^
=(2ax^2 +bx^2 ) -(2ay^2 -by^2)
= (x^2)(2a+b) -(y^2)(2a+b)
= (x^2 -y^2)(2a+b)
= (x+y)(x-y)(2a+b)

y(z^2)-y cubed +z cubed -(y^2)z
= (y(z^2)-y^3) +(z^3 -(y^2)z)
= y(z^2 -y^2) + z(z^2 -y^2)
= (y+z)(z^2 -y^2)
= (y+z)(z-y)(z+y)

y cubed -(y^2)-4y+4
= (y^3 -y^2) -(4y-4)
= y(y^2 -1) -4(y-1)
= y(y-1)(y+1) -4(y-1)
= [y(y+1)-4](y-1)
= (y^2 +y -4)(y-1)

x^a +x^b-16a-16b
= (x^a +x^b)-(16a+16b)
= x^(a+b) -16(a+b)
= (x^2 -16)(a+b)
= (x-4)(x+4)(a+b)