4(x+y)2-9(2x-3y)2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 11:43:41
4(x+y)2-9(2x-3y)2

4(x+y)2-9(2x-3y)2
4(x+y)2-9(2x-3y)2

4(x+y)2-9(2x-3y)2
4(x+y)2-9(2x-3y)2
=[2(x+y)]² - [3(2x-3y)]²
=(2x+2y+6x-9y)(2x+2y-6x+9y)
=(8x-7y)(11y-4x)
有什么不明白可以对该题继续追问
请及时选为满意答案,

4(x+y)²-9(2x-3y)²
=(2x+2y)²-(6x-9y)²
=(2x+2y+6x-9y)(2x+2y-6x+9y)
=(8x-7y)(11y-4x)

=[2(x+y)]²-[3(2x-3y)]²
=[2(x+y)+3(2x-3y)][2(x+y)-3(2x-3y)]
=(8x-7y)(-4x+11y)
=-(8x-7y)(4x-11y)