In order to solve the problem of combining similar terms in mathematics, we should make the cube of polynomial MX + 3nxy square - 2x Cube - XY square + y not contain cubic terms, and find the value of M + 3N | Math enthusiast | Mathematical art

In order to solve the problem of combining similar terms in mathematics, we should make the cube of polynomial MX + 3nxy square - 2x Cube - XY square + y not contain cubic terms, and find the value of M + 3N

The cube of MX + the square of 3nxy - the square of 2x - the square of XY + y
=(m-2)x³+(3n-1)xy²+y
∵ without cubic term
∴m-2=0
3n-1=0
∴m=2
3n=1
∴m+3n=2+1=3

2 (x + 2Y) - 5 (x + 2Y) + 3 (x + 2Y) - 4 (x + 2Y) take (x + 2Y) as a whole to merge the similar terms

2(X+2y)-5(X+2y）+3（X+2y）-4（X+2y）
=(2-5+3-4)(x+2y)
=-4(x+2y)

Observe the following formula: - A + B = - (a-b), 2-3x = - (3x-2), 5x + 30 = 5 (x + 6), - X-6 = - (x + 6)
From the change of brackets in the above four formulas, explain the difference between them and the rule of removing brackets. According to your exploration rule, answer the following question. Known a ^ 2 + B ^ 2 = 5,1-b = - 2, find the value of - 1 + A ^ 2 + B + B ^ 2

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