把下列多项式因式分解:
问题描述:
把下列多项式因式分解:
(1)4x²-20xy+25y²
(2)9-12(x-y)+4(x-y)²
答
(1)
4x²-20xy+25y²
=(2x)²-2*2x*5y+(5y)²
=(2x-5y)²
(2)
9-12(x-y)+4(x-y)²
=3²-2*3*2(x-y)+[2(x-y)]²
=(3-2x-2y)²
=(2x+2y-3)²-√6*√42*(-3√7)
=3√6*√7*√¥2
=3√42*√42
=3*42
=126