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The basic steps of the common factoring method:
1) Find the common factor.
2) Mention the common factor and determine another factor:
The first step is to find the common factor, which can be determined according to the method of determining the common factor, first determine the coefficient and then determine the letter The second step is to mention the common factor and determine another factor, note that to determine another factor, you can divide the original polynomial by the common factor, and the obtained quotient is the remaining factor after the common factor, and you can also use the common factor to remove each term of the original polynomial respectively, and find the remaining other factor.
After mentioning the common factor, the number of terms of the other factor is the same as that of the original polynomial.
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The method of factoring a common factor means that if each item of a polynomial has a common factor, the common factor can be put out of parentheses, and the polynomial can be written in the form of the product of the factor, and this method of factoring is called the method of factoring the common factor.
The basic basis steps for mentioning the common factor method:
Find the common factor.
Mention the common factor and determine another factor.
The first step is to find the common factor, which can be determined according to the method of determining the common factor, first determine the coefficient and then determine the letter The second step is to mention the common factor and determine another factor, note that to determine another factor, you can divide the original polynomial by the common factor, and the obtained quotient is the remaining factor after the common factor, and you can also use the common factor to remove each term of the original polynomial respectively, and find the remaining other factor.
After mentioning the common factor, the number of terms of the other factor is the same as that of the original polynomial.
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1. Generally speaking, if the items of a polynomial have a common factor, you can put this common factor outside the parentheses, and write the polynomial in the form of the product of the factor, and this method of factoring is called the common factor method.
2. According to the steps:
The basic steps of the common factoring method:
1) Find the common factor.
2) Mention the common factor and determine another factor:
The first step is to find the common factor, which can be determined according to the method of determining the common factor, first determine the coefficient and then determine the letter The second step is to mention the common factor and determine another factor, note that to determine another factor, you can divide the original polynomial by the common factor, and the obtained quotient is the remaining factor after the common factor, and you can also use the common factor to remove each term of the original polynomial respectively, and find the remaining other factor.
After mentioning the common factor, the number of terms of the other factor is the same as that of the original polynomial.
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Solution: (1) Original formula = (x-2y) +3(x-2y) = (x-2y+3)(x-2y).
2) Original formula = 4m n(m-n) +2mn(m-n)3=2mn 2m(m-n) +2mn(m-n) (m-n)=2mn(m-n) (2m+m+n).
2mn(m-n)²(3m+n)
3) Original formula = x(x+y)(x-y)-x(x+y)(x+y)=x(x+y) x-y-(x+y).
x(x+y)(-2y)
2xy(x+y)
x+y=1 xy=1/2
Original = -1 2
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It's very simple, you put them all together with the formula a(b-d).
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The formula method is one of the ways to solve a quadratic equation, the equation: ax +bx+c=0, then: x1=( -b + root number(b2-4ac)) 2ax2=( -b-root number(b2-4ac)) 2a Good luck.
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