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因式分解(1)2x²-32(2)(x-1)²-9(3)a的五次方-a(4)16x²-9y&

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因式分解(1)2x²-32(2)(x-1)²-9(3)a的五次方-a(4)16x²-9y²
(1)2x²-32
=2(x²-16)
=2(x+4)(x-4)
(2)(x-1)²-9
=[(x-1)+3][(x-1)-3]
=(x+2)(x-4)
(3)a的五次方-a
=a(a的4次方-1)
=a(a²+1)(a²-1)
=a(a²+1)(a+1)(a-1)
(4)16x²-9y²
=(4x)²-(3y)²
=(4x+3y)(4x-3y)
再问: ·16x的四次方-81y的四次方 ·(x-y)²-4(x+y)² 就这两道题了,
再答: =(4x²)²-(9y²)² =(4x²+9y²)(4x²-9y²) =(4x²+9y²)(2x+3y)(2x-3y) =(x-y)²-[2(x+y)]² =(x-y+2x+2y)(x-y-2x-2y) =(3x+y)(-x-3y) =-(3x+y)(x+3y)