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Classic examples of mathematics in the first volume of the second day of junior high school
1. If there is a common factor, it is necessary to extract the common factor, such as the first a? -a, whose common factor is a, puts forward a, that is, =a*(a? -1), and then expand with the square difference formula, =a*(a- 1)*(a+ 1).

2. For complex formulas, decompose them first, such as -y? +(y-2)? Expand =-y? +y? +4-4y=4-4y=4*( 1-y), (using the complete square formula)

3. learning formula: (a+b)? (a-b)? ={(a+b)*(a-b)}? =(a? -B? )?

4. Use square difference formula 9(x- 1)? - 1 =[3(x- 1)]? - 1 = { 3(x- 1)- 1 } { 3(x- 1)+ 1 } =(3x-4)*(3x-2)

5、x^4-y^4=(x? )? -(y? )? =(x? -Really? )*(x? +y? )=(x-y)(x+y)(x? +y? )

6、4(x+y)? -9(x-y)? =[2(x+y)]? -[3(x-y)]? = [2 (x+y)+3 (x-y)] * [2 (x+y)-3 (x-y)] = (5x-y) (5y-x) (Note that a plus sign may be written as a minus sign, right? In short, solve it with square difference. )