.先化简再求值】x^4-y^4分之x²+y²分之1
问题描述:
.先化简再求值】x^4-y^4分之x²+y²分之1
.先化简再求值】
(1)x^4-y^4分之x+y÷x²+y²分之1,其中x=8,y=11
(2)x²+6x+9分之x²-9×x²-3x分之3x³+9x²,其中x=-3分之1
答
(x+y)/[1/(x^2+y^2)] /(x^4-y^4)
=(x+y)(x^2+y^2)/[(x^2-y^2)(x^2+y^2)]
=(x+y)/(x^2-y^2)
=1/(x-y)
=1/(8-11)
=-1/3
2) 先把括号打上,否则很难明白意思(x²+6x+9)分之(x²-9)×(x²3x)分之(3x³+9x²)(x²-9)/(x²+6x+9)* (3x³+9x²)/ (x²-3x)]= (x+3)(x-3)*3x^2(x+3) /[(x+3)^2*x*(x-3)]=3x=3*(-1/3)=-1