[因式分解]x²y²-x的4次方y的4次方= a²b²+8ab+4=x³+8x²y+9xy²=

问题描述:

[因式分解]x²y²-x的4次方y的4次方= a²b²+8ab+4=x³+8x²y+9xy²=

x²y²-x的4次方y的4次方= x²y²(1-x²y²)= x²y²(1-xy)(1+xy)
a²b²+8ab+4=(ab+4)²-12=(ab+4-2√3)(ab+4+2√3)
x³+8x²y+9xy²=x(x²+8xy+9y²)=x[x+(4+√7)y][x+(4-√7)y]

题目没看懂,是因式分解这四个题么?

x²y²-x^4y^4= x²y²(1-x²y²).提公因式= x²y²(1-xy)(1+xy).把xy看成整体,(1-x²y²)平方差公式a²b²+8ab+4=(a²b²+8ab+16)-16+4.配成完全平方=(a...