关于初二数学“整式乘除与因式分解”因式分解4x²-40xy+25y²
问题描述:
关于初二数学“整式乘除与因式分解”
因式分解
4x²-40xy+25y²
答
原式=16x²-40xy+25y²-12x²
=(4x-5y)²-12x²
=(4x+2根号三x-5y)(4x-2根号三x-5y)
答
4x²-40xy+25y²
=4(x²-10xy+25y²)-75y²
=4(x-5y)²-(5√3y)²
=(2x-10y)²-(5√3y)²
=(2x-10y+5√3y)(2x-10y-5√3y)