x^-16/(x^+8x+16) +x/(x-4)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 18:09:49
x^-16/(x^+8x+16) +x/(x-4)

x^-16/(x^+8x+16) +x/(x-4)
x^-16/(x^+8x+16) +x/(x-4)

x^-16/(x^+8x+16) +x/(x-4)
x^-16/(x^+8x+16) +x/(x-4)
=(x-4)(X+4)/(X+4)^2+X/(X-4)
=(X-4)/(X+4)+X(X-4)
=((X-4)^2+X(X+4))/(X-4)(X+4)
=(X^2-8X+16+X^2+4X)/(X-4)(X+4)
=(2X^2-4X+16)/(X-4)(X+4)
=2(X^2-2X+8)/(X-4)(X+4)

(x^2-16)/(x^2+8x+16) +x/(x-4)
=(x+4)(x-4)/(x+4)^2+x/(x-4)
=(x-4)/(x+4)+x/(x-4)
=[x(x+4)+(x-4)^2]/[(x+4)(x-4)]
=(2x^2-4x+16)/(x^2-16)