分解因式:4xy-(x^2-4y^2)
问题描述:
分解因式:4xy-(x^2-4y^2)
答
4xy-(x^2-4y^2) =-(-4xy+x^2+4y^2)=-(x^2-4xy+4y^2)=- (x-2y)^24xy-(x^2-4y^2)去括号应是4xy-x^2+4y^2; 而-(-4xy+x^2+4y^2)去括号却是4xy-x^2-4y^2,与题目不符。对, 看错了 重来4xy-(x^2-4y^2) =4xy-x^2+4y^2=4xy-x^2+4y^2-2x^2+ 2x^2=4xy +4y^2 + x^2-2x^2=(2y+x)^2-2x^2=(2y+x-√2x) (2y+x+√2x)