几道数学代数因式分解题

Question

1.1.1/2x²-8ax+32a²

2.x²(x²-y²)+z²(y²-x²)

3.5a²b(x-y)³-30ab²(y-x)²

快点哦~~~~~~~~~~~~~~~~~~~~谢了~~~~~~~~~~~~~~~~~~~~~~~
我爱你们呢~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer 1

1.1/2x²-8ax+32a²
=1/2(x²-16ax+64a²)
=1/2(x-8a)²

2.x²(x²-y²)+z²(y²-x²)
=x²(x²-y²)-z²(x²-y²)
=(x²-y²)(x²-z²)
=(x+y)(x-y)(x+z)(x-z)

3.5a²b(x-y)³-30ab²(y-x)²
=5a²b(x-y)³-30ab²(x-y)²
=5ab(x-y)²[a(x-y)-6b]
=5ab(x-y)²(ax-ay-2b)

Answer 2

解：1
1/2x²-8ax+32a² =1/2（x²-16ax+64a² ）=1/2（x-8a)^2
2
x²(x²-y²)+z²(y²-x²) =x²(x²-y²)-z²(x²-y²) =(x²-y²)(x²-z²)
=(x+y)(x-y)(x+z)(x-z)
3
5a²b(x-y)³-30ab²(y-x)²=5ab{a(x-y)^3-6b(x-y)^2}
=5ab(x-y)^2{a(x-y)-6b}