Decomposition factor: M + 1 power of (x + y) minus M-1 power of (x + y), M is an integer greater than 1

Put forward the M-1 power of (x + y) and sort it out
Ah, (x + y) ^ (M + 1) - (x + y) ^ (m-1) = (x + y) ^ (m-1) * (x + y) ^ (m-1) = (x + y) ^ (m-1) * [(x + y) ^ 2-1]

RELATED INFORMATIONS

1. Decomposition factor (x + y) to the power of M + 1 - (x + y) to the power of M-1 (integers with m greater than 1)
2. Factorization: y ^ n-y ^ (n-2), (n is an integer and N is greater than 2)
3. Can you help me calculate the eigenvalues and eigenvectors of the matrix now The matrix is: 1 3 1 / 5 1 / 2 1 / 6 1 1/3 1 1/4 2 1/3 2 5 4 1 1 1/3 2 2 1/2 1 1 1/5 2 6 3 3 5 1 4 1 1/2 1/2 1/2 1/4 1
4. Who can help calculate the eigenvalues and eigenvectors of this matrix? The fifth order matrix is as follows. I use matlab to work out why the vector is negative, 1 1/4 1/5 2 1/2 4 1 1/2 5 3 5 2 1 7 4 1/2 1/5 1/7 1 1/3 2 1/3 1/4 3 1
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9. Help use matlab to calculate all eigenvalues of the matrix and the eigenvector corresponding to the maximum eigenvalue 1 1/2 1/3 1 1 2 2 5 2 1 1/2 2 2 1 1 5 3 2 1 2 5 5 3 7 1 1/2 1/2 1 1 3 2 5 1 1/2 1/5 1 1 3 2 4 1/2 1 1/5 1/3 1/3 1 1 3 1/2 1 1/3 1/2 1/2 1 1 3 1/5 1/5 1/7 1/5 1/4 1/3 1/3 1
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