分解因式(x+y)的2次方-16(x-y)的2次方

说明过程
2024-12-27 17:57:52
推荐回答(3个)
回答1:

原式=(x+y)²-[4(x-y)]²
=(x+y)²-(4x-4y)²
=[(x+y)+(4x-4y)][(x+y)-(4x-4y)]
=(5x-3y)(5y-3x)

回答2:

(x+y)²-16(x-y)²=[x+y-4(x-y)]×[x+y+4(x-y)]=(5y-3x)(5x-3y) 就是这样了......
用平方差公式.....16=4²

回答3:

(x+y)^2-16(x-y)^2
=[(x+y)-4(x-y)][(x+y)+4(x-y)]
=(5y-3x)(5x-3y)