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All concepts and formulas in the first chapter of the seventh grade mathematics textbook published by Beijing Normal University.
The first chapter is the multiplication and division of algebraic expressions.

1 Multiplication of the same radix power

Same radix power multiplication, constant radix, exponential addition.

The power of the product of the power sum of 2.

The power of the power is constant, and the power of the exponential product is equal to the power of each factor in the product.

3 the division of the same radix power

Same radix power division, constant radix, exponential subtraction.

a = 1(a≠0)

The -p power of a = one third of the p power of a (a≠0, p is a positive integer).

Multiplication of 4 algebraic expressions

Multiply the monomial with the monomial, multiply their coefficients and the power of the same letter respectively, and the remaining letters, together with their exponents, remain unchanged as the factors of the product.

Multiplying polynomial by monomial means multiplying each term of polynomial by monomial according to distribution rate, and then adding the products.

Multiply polynomials by multiplying each term of one polynomial by each term of another polynomial, and then add the products.

5 square difference formula

(a+b) (a-b) = the square of a+b.

The product of the sum of two squares and the difference between these two numbers is equal to their square difference.

6 complete square formula

The square of (a+b) = the square of a+the square of 2ab+b.

The square of (a-b) = the square of a-the square of 2ab+b.

Division of 7 algebraic expressions

Divide the coefficient and the same base by the monomial division respectively, and take it as the factor of quotient; For the letter only contained in the division formula, it is used as the factor of quotient together with its index.

Polynomial divided by monomial, first divide each term of this polynomial by monomial, and then add the obtained quotients.