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Mathematics problems of eighth grade in junior high school
Solution: 1, Xiaoying said: You put the middle X? -Really? After factorization, the complete square formula can be applied.

The decomposition coefficient is as follows:

(x+y)? -4(x? -Really? )+4(x-y)? =(x+y)? -4(x+y)(x-y)+4(x-y)? =(x+y-2(x-y))?

=(3y-x)?

2. What are the shapes of chicken farms and pig farms? This is very important. If it's a square, it's ok, but other graphics are not. If it is a square, the solution is as follows:

What is the area of the pig farm? What is the area of chicken farm? According to the meaning of the problem, the equation can be listed as

x? -Really? =60

4x+4y=60

X+y= 15 from 4x+4y=60, and x? -Really? =60

So x-y =4, the solution is X = 19/2, and Y = 1 1/2.

x? =36 1/4,y? = 12 1/4

Answer: The pig farm area is 36 1/4, and the chicken farm area is 12 1/4.

3、4(m-n)? -9(m+n)? =〔2(m-n)+3(m+n)〕〔2(m-n)-3(m+n)〕〔=(2m-2n+3m+3n)(2m-2n-3m-3n)=-(5m-n)(m+n)

(m+n)? +(m+n)(m-3n)=(m+n)(m+n+m-3n)=(m+n)(2m-2n)= 2(m+n)(m-n)