If n is a positive integer, try to show that the N + 3 power of 3 minus the power of 4 the power of N + 1 plus the power of N + 1 of 3 minus the power of 2 to the power of 2n can be divided by 10

3^(n+3)-4^(n+1)+3^(n+1)-2^2n
=3^(n+3)+3^(n+1)-4^n-4^(n+1)
=3^(n+1)*(3²+1)-2^2n*(1+4)
=10*3^(n+1)-10*2^(2n-1)
=10*[3^(n+1)-2^(2n-1)]
N is a positive integer, 3 ^ (n + 1) - 2 ^ (2n-1) is an integer
So the above formula must be divisible by 10

Suppose that when m, n are positive integers, the m power of a is multiplied by the n power of A=--------------------

The (M + n) power of a

The second power of (M + n power of x) is the third power of (- M-N power of x) and M-power of 2m-n power of X. (M and N are positive integers, and M > n) Come on!

0

The m-th power of x plus the nth power of Y minus 4 and the m plus N power of Y is
M ≥ n, m times trinomial;
M ＜ n, n times trinomial;
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If m, n are positive integers and M

The m-th power of X-Y and the M + n power of 2 are polynomials of degree (n)

The m power of (B-A) × (B-A) × (B-A) × (a-b) × (a-b), where m and N are positive integers and N is greater than 5 Come on, folks ,

M power of (B-A) × (B-A) × (B-A) × (a-b) × (a-b)
=-M power of (B-A) × N-5 power of (B-A) × 5 power of (B-A)
=-The (M + N-5 + 5) power of (B-A)
=-The (M + n) power of (B-A)

m. All n are positive integers. Is the degree of M-power of polynomial x-2y + 2m + nth power?

The power of 2m + n is a constant term and the degree is 0
So look at the number of the first two
The first is m times, and the second is n times
So it depends on which is bigger
So m > n is m times
M

If the m-th power of polynomial 3x - (n-1) x + 1 is a quadratic binomial about X, try to find the value of M, n

The answer is as follows:
Because: the m power of 3x - (n-1) x + 1 is a quadratic binomial of X
So: M = 2,
-（n-1）=0 n=1
The quadratic binomial is 3x 2 + 1
Answer: the value of M is 2 and the value of n is 1

Given that m and N are positive integers, and M > N, what is the number of times that the m power of x minus the n power of Y and the (M + n) power of 8

M times. M and N are known numbers of letters, and the number of factors is the highest. Because m > N, it is m times

If the m power of a = the nth power of a (a > 0 and a ≠ 1, m and N are positive integers), then M = n. (1) it is known that 2 × 8 ^ x × 16 ^ x = 2 ^ 22, Find the value of X. (2) given (27 ^ x) ^ 2 = 3 ^ 8, find the value of X

﹙1﹚2×8^x×16^x＝2^22 2×2^﹙3x﹚×2^﹙4x﹚＝2^22 2^﹙7x＋1﹚＝2^22 7x＋1＝22 7x＝21 x＝3 ﹙2﹚﹙27^x﹚²＝3^8 ﹙3^3x﹚²＝3^8 ...

If n is a positive integer, try to show that the N + 3 power of 3 minus the power of 4 the power of N + 1 plus the power of N + 1 of 3 minus the power of 2 to the power of 2n can be divided by 10