这几道数学题怎么写?过程详细
3个回答
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1. 9x²-6x+1
=(3x-1)²
2. (x+y)²+4(x+y)+4
=(x+y+2)²
3. (a²-4)²+6(a²-4)+9
=[(a²-4)+3]²
=[(a+2)(a-2)+3]²
4. (x²+16y²)²-64x²y²
=(x²+16y²)²-(8xy)²
=( x²+8xy +16y²)( x²-8xy +16y²)
=(x+4y)²·(x-4y)²
5. x²-2xy+y²-9
=(x-y)²-3²
=(x-y+3)(x-y-3)
6. x²-6x-7
= x²-6x+9-16
=(x-3)²-4 ²
=(x-3+4)(x-3-4)
=(x+1)(x-7)
=(3x-1)²
2. (x+y)²+4(x+y)+4
=(x+y+2)²
3. (a²-4)²+6(a²-4)+9
=[(a²-4)+3]²
=[(a+2)(a-2)+3]²
4. (x²+16y²)²-64x²y²
=(x²+16y²)²-(8xy)²
=( x²+8xy +16y²)( x²-8xy +16y²)
=(x+4y)²·(x-4y)²
5. x²-2xy+y²-9
=(x-y)²-3²
=(x-y+3)(x-y-3)
6. x²-6x-7
= x²-6x+9-16
=(x-3)²-4 ²
=(x-3+4)(x-3-4)
=(x+1)(x-7)
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