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Find several difficult problems of multiplying polynomials by polynomials in seven mathematics.
1. if a+b=3, a? b+ab? =-30, find one? +B? The value of

2. Clever solution 4(X-2)? + 12(X+2)(X-2)-8(X- 1)? *(X-2)×4(X-2)

3. Look at the following material: Because (X+3)(X-2)=X? +X-6, so (x? +X-6)÷(X-2)=X+3

Does this mean x? +X-6 can be divisible by X-2, which also means that the polynomial x? +X-6 has a factor of x-2; In addition, when X=2, the polynomial x? The value of +X-6 is 0. Excuse me.

1. According to the above materials, it is guessed that the value of polynomial is 0, polynomial has a factor of X-2, and polynomial can be divisible by X-2.

What's the connection?

2. Explore the law: Generally speaking, if a polynomial M is about the letter X, when X=K, the value of M is 0.

So what is the relationship between m and algebra X-K? ( )

4. If m times of 10 =20 and n times of 10 =-1 5 times, try to find the value of m times of 9 ÷ 2N times of 3.

5. known x? +Y? -2X-6Y=- 10, find the value of 2007 times of x and -2 times of y.

6.(X? -2X-3)(X- 1)(X+3)

7. Explain with the complete square formula: (M+N/2)? +(M-N/2)? =M? +N? /2

8. it is known that a(a- 1)-(a? -b)=-5, ask for a? +b? The value of /2-ab