分解因式2x-8x²,（a+b）²-100,7m³n-28n³m,3m(x-y)³+27m³（y-x）

分解因式2x-8x²,（a+b）²-100,7m³n-28n³m,3m(x-y)³+27m³（y-x）
分解因式2x-8x²,（a+b）²-100,7m³n-28n³m,3m(x-y)³+27m³（y-x）

分解因式2x-8x²,（a+b）²-100,7m³n-28n³m,3m(x-y)³+27m³（y-x）
2x-8x²=2x(1-4x)
(a+b)²-100
=(a+b)²-10²
=(a+b+10)(a+b-10)
7m³n-28n³m
=7mn(m²-4n²)
=7mn(m+2n)(m-2n)
3m(x-y)³+27m³(y-x)
=3m(x-y)³-27m³(x-y)
=3m(x-y)[(x-y)²-9m²]
=3m(x-y)(x-y+3m)(x-y-3m)

2x-8x^2=2x(1-4x)
(a+b)^2-100=(a+b+10)(a+b-10)
7m^3n-28n^3m
=7mn(m^2-4n^2)
=7mn(m+2n)(m-2n)
3m(x-y)^3+27m^3(y-x)
=3m(x-y)[(x-y)^2-9m^2]
=3m(x-y)(x-y+3m)(x-y-3m)