Question

16（x+y）²-（x-y）²其因式分解的答案是什么？

Answer 1

因式分解:

16（x+y）²-（x-y）²

=[4（x+y）+（x-y）][4（x+y）-（x-y）]

=[4x+4y+x-y][4x+4y-x+y]

=(5x+3y)(3x+5y)

Answer 2

=（x+y+x-y）(x+y-x+y)
=4xy

利用公式a²-b²=(a+b)(a-b)

Answer 3

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

Answer 4

根据题意可知：
16（x+y）²-（x-y）²
=[4（x+y）+（x-y）][4（x+y）-（x-y）]
=[4x+4y+x-y][4x+4y-x+y]
=(5x+3y)(3x+5y)

Answer 5

使用平方差公式，
16（x+y）²-（x-y）²

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