Bx²-by²=b(x²-y²)=b(x+y)(x-y)
5x+5y=5(x+y)
bc-bd=b(c-d)
ax²+2axy+ay²=a(x²+2xy+y²)=a(x+y)(x+y)=a(x+y)²
ab²-3b²+aby-3by=b²(a-3)+by(a-3)=(a-3)(b²+by)=b(b+y)(a-3)
ab-a²b=ab(1-a)
8m(a-3)+n(a-3)=(a-3)(8m+n)
(p²-25)-q(p²-25)=(p²-25)(1-q)=(p+5)(p-5)(1-q)
3a²-3b²=3(a²-b²)=3(a+b)(a-b)
12a²-4=4(3a²-1)=4(√3a+1)(√3a-1)
9x²+18xy+9y²=9(x²+2xy+y²)=9(x+y)(x+y)=9(x+y)²
-7p²+28pq-28q²=-7(p²-4pq+4q²)=-7(p-2q)(p-2q)=-7(p-2q)²
8x³-8y³=8(x³-y³)=8(x-y)(x²+xy+y²)
a²-b²=(a+b)(a-b)
a²+2ab+b²=(a+b)²
a²-2ab+b²=(a-b)²
a³+b³=(a+b)(a²-ab+b²
a³-b³=(a-b)(a²+ab+b²)