已知x+3y=10,求（x^2-9y^2)÷(x-3y)的值?

来源：学生作业帮助网编辑：作业帮时间：2024/05/06 11:11:14

已知x+3y=10,求（x^2-9y^2)÷(x-3y)的值?
已知x+3y=10,求（x^2-9y^2)÷(x-3y)的值?

已知x+3y=10,求（x^2-9y^2)÷(x-3y)的值?
首先化简分式
=(x+3y)(x-3y)/(x-3y)
=x+3y
=10

（x^2-9y^2)÷(x-3y)
=X+3Y
=10

原式=(x+3y)(x-3y)÷(x-3y)
=x+3y
=10

（x^2-9y^2)÷(x-3y)
=(x-3y)(x+3y)÷(x-3y)
=x+3y
=10

x^2-9y^2=(x-3y)*(x+3y)
所以x-3y除掉了，剩下x+3y
结果是10

（x^2-9y^2)÷(x-3y
=（x-3y)(x+3y)÷(x-3y
=x+3y
=10