因式分解,5y(x-2y)²-20y(2x-y)²
问题描述:
因式分解,5y(x-2y)²-20y(2x-y)²
答
5y(x-2y)²-20y(2x-y)²
=5y[(x-2y)²-4(2x-y)²]
=5y[(x-2y)+2(2x-y)][(x-2y)-2(2x-y)]
=5y(5x-4y)(-3x)
=-15xy(5x-4y)