因式分解 一道题1-(4x^2)-(4y^2)+8xy
问题描述:
因式分解 一道题
1-(4x^2)-(4y^2)+8xy
答
1-(4x^2)-(4y^2)+8xy
=1-(4x^2-8xy+4y^2)
=1-(2x-2y)^2
=(1+2x-2y)(1-2x+2y)
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答
原式=-(4x²-8xy+4y²-1)
=-[(2x-2y)²-1]
=-(2x-2y+1)(2x-2y-1)