Prove that when a while square and a black square are removed from an 8 × 8 checkerboard (...

Prove that when a while square and a black square are removed from an 8 × 8 checkerboard (colored as in the text) you can tile the remaining squares of the checkerboard using dominoes. [Hint: Show that when one black and one white square are removed. each part of the partition of the remaining cells formed by inserting the barriers shown in the figure can be covered by dominoes.]