分解因式:①x²-4x+8y-4y²②a²(x-2a)²-a(2a-x)³
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分解因式:①x²-4x+8y-4y²②a²(x-2a)²-a(2a-x)³
分解因式:①x²-4x+8y-4y²②a²(x-2a)²-a(2a-x)³
分解因式:①x²-4x+8y-4y²②a²(x-2a)²-a(2a-x)³
第一道题是利用凑平方,然后用平方差公式来分解因式
①x²-4x+8y-4y²
=x²-4x+4-(4y²-8y+4)
=(x-2)²-4(y-1)²
=[x-2-2(y-1)][x-2+2(y-1)]
=(x-2y)(x+2y-4)
第二道题是利用提取公因式
②a²(x-2a)²-a(2a-x)³
=a²(2a-x)²-a(2a-x)³
=[a²-a(2a-x)](2a-x)²
=[-a²+ax](2a-x)²
=a(x-a)(2a-x)²
①x²-4x+8y-4y²
=x²-4x+4-(4y²-8y+4)
=(x-2)²-4(y-1)²
=[x-2-2(y-1)][x-2+2(y-1)]
=(x-2y)(x+2y-4)
②a²(x-2a)²-a(2a-x)³
=a²(2a-x)²-a(2a-x)³
=[a²-a(2a-x)](2a-x)²
=[-a²+ax](2a-x)²
=a(x-a)(2a-x)²