Does It Always Hold?

Algebra Level 3

1×1=111×11=121111×111=123211111×1111=1234321 \begin{array} {r c r c l } 1 &\times & 1 & = &1 \\ 11 & \times& 11 & = &121 \\ 111 & \times& 111 & =& 12321 \\ 1111 & \times& 1111 & =& 1234321 \\ \end{array}

Observe the equations above.

Hence, what is the value of

111111111110 1’s ×111111111110 1’s   ? \underbrace{1111111111}_{10 \text{ 1's } } \times \underbrace{1111111111}_{10 \text{ 1's } } \; ?


Inspiration.

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