Đáp án:
Giải thích các bước giải:
a, 16x²(x-y)-10y(y-x) = 16x²(x-y)+10y(x-y)
= (16x²+10y)(x-y)
b, 2x(x+1)+2(x+1) = (2x+2)(x+1)
c, y²(x²+y)-zx²-zy = y²(x²+y)-z(x²+y)
= (y²-z)(x²+y)
d, 4x(x-2y)-8y(x-2y) = (2x-8y)(x-2y)
e, x²-9=x²-3²=(x+3)(x-3)
f, 4x²-25=(2x)²-5²=(2x+5)(2x-5)
g, x²-5=x²-(√5)²=(x-√5)(x+√5)
h, x^6-y^6=(x³)²-(y³)²=(x³-y³)(x³+y³)=(x-y)(x²+xy+y²)(x+y)(x²-xy+y²)
i, (x+y)²-x²=(x+y-x)(x+y+x)=y(2x+y)
k, -y²+1/9 = (1/3)²-y²=(1/3-y)(1/3+y)
m, x^4-y²=(x²)²-y²=(x²-y)(x²+y)
n, (3x+1)²-(x+1)²=(3x+1-x-1)(3x+1+x+1)=2x(4x+2)=4x(2x+1)