Question 11 MarkIf $x^2+y^2-x y=3$ and $y-x=1$, then $\frac{x y}{x^2+y^2}=$ _______________ .Answer$\frac{2}{5}$View full question & answer→
Question 21 MarkIf $\frac{a}{b}+\frac{b}{a}=2$, then $\left(\frac{a}{b}\right)^{100}-\left(\frac{b}{a}\right)^{100}=$ _______________ .Answer0View full question & answer→
Question 31 MarkIf $a+b+c=6, \frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{3}{2}$, then $\frac{a}{b}+\frac{a}{c}+\frac{b}{a}+\frac{b}{c}+\frac{c}{a}+\frac{c}{b}=$ _______________ .Answer6View full question & answer→
Question 41 MarkIf $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=1$ and $a b c=2$, then $a b^2 c^2+a^2 b c^2+a^2 b^2 c=$ _______________Answer4View full question & answer→
Question 51 MarkIf $(a+b+c)\left\{(a-b)^2+(b-c)^2+(c-a)^2\right\}=k\left(a^3+b^3+c^3-3 a b c\right)$, then $k=$ _______________ .Answer2View full question & answer→
Question 61 MarkIf $x+y+z=5$ and $x y+y z+z x=7$, then $x^3+y^3+z^3-3 x y z=$ _______________ .Answer20View full question & answer→
Question 71 Markif $x+y+z=0$, then $(x+y)^3+(y+z)^3+(z+x)^3=$ _______________ .Answer$-3 x y z$View full question & answer→
Question 81 MarkIf $a^2+b^2+c^2=24$ and $a b+b c+c a=-4$, then $a+b+c=$ _______________ .Answer$\pm 4$View full question & answer→
Question 91 MarkIf $a^2-2 a-1=0$, then $a^2+\frac{1}{a^2}=$ _______________ .Answer6View full question & answer→
Question 101 Marklf $\frac{37^3-28^5}{37^2+37.28+28^2}=$ _______________ .Answer9View full question & answer→
Question 111 MarkIf $a+\frac{1}{a}=-2$, then $a^2+\frac{1}{a^2}=$ _______________ .Answer2View full question & answer→
Question 121 MarkIf $(a-b)^2+(b-c)^2+(c-a)^2=0$, then _______________ .Answera = b = cView full question & answer→