# Someone loves Mathematics and A Girl.....

Algebra Level 4

Consider a Euclidean space $$\mathbb R^{n}$$ and the 3 equations $\begin{array} &y_{1}=x_{1}^{3}+x_{2}-1, &y_{2}=x_{1}^{3}, &y_{3}=x_{1}+x_{2}+2.\end{array}$ Now, a transformation $$T:\mathbb R^{2}\mapsto \mathbb R^{3}$$ is defined by : $T\left ( x_{1},x_{2} \right )=\left (x_{1}^{3}+x_{2}-1,x_{1}+x_{2}, x_{1}+x_{2}+2 \right ).$ Find $$T\left (2,8 \right )$$.

Submit your answer as $$y_{1}+y_{2}-y_{3}$$.

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