因式分解x²+8xy-8y²

问题描述:

因式分解x²+8xy-8y²

x²+8xy-8y²
=x²+2×4xy+(4y)²-(4y)²-8y²
=(x+4y)²-24y²
=(x+4y+2√6y)(x+4y-2√6y)