3(2x-7y)(7y+2x)+(4x+5y)(-5y-4x)因式分解

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 03:18:59

3(2x-7y)(7y+2x)+(4x+5y)(-5y-4x)因式分解
3(2x-7y)(7y+2x)+(4x+5y)(-5y-4x)
因式分解

3(2x-7y)(7y+2x)+(4x+5y)(-5y-4x)因式分解
=3(4x²-49y²)-(4x+5y)²
=-4x²-40xy-172y²
=-4(x²+10xy-43y²)

原式=3(4x²-49y²)-(16x²+40xy+25y²)
=12x²-147y²-16x²-40xy-25y²
=-4x²-40xy-172y²

3(2x-7y)(2x+7y)-(4x+5y)^2
3(4x^2-49y^2)-(16x^2+40xy+25y^2)
12x^2-147y^2-16x^2-40xy-25y^2
-4x^2-122y^2-40xy

-4(x2+14y2+5xy)