Verified answer

a)

a³-a²=a²(a-1)

b)

6x+6y+ax+ay

6(x+y)+a(x+y)

(x+y)(6+a)

c)

x²-100=x²-10²

=(x-10)(x+10)

a³-a²=

a²(a-1)=

a²(a+1)(a-1)

6x+6y+ax+ay=

6(x+y)+a(x+y)=

(x+a)(6+a)

x²-100=

(x+10)(x-10)

a³ - a² = a²(a³/a² - a²/a²) = a²(a - 1)

6x+6y+ax+ay = 6.(x+y)+a.(x+y) = (x+y).(6+a)

x²-100 = x²+10x-10x-100 = x(x+10)-10(x+10) = (x+10)(x-10)