"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 3

Description

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 3

Activity 1 Knowledge Review

The rule for multiplying polynomials by polynomials: To multiply polynomials by polynomials, first multiply each term of one polynomial by each term of the other polynomial, and then add the resulting products.

(a+b)(m+n)=am+an+bm+bn.

Activity 2 Calculate the following questions. What patterns can you find?

(1) (x+1)(x－1); (2) (a+2)(a－2);

(3) (3-x)(3+x); (4) (2x+1)(2x-1).

Square difference formula:

(a+b)(a-b)=a2-b2.

That is, the product of the sum of two numbers and the difference between the two numbers is equal to the squared difference of the two numbers.

(-m+n) (-m-n) =m2-n2.

Activity 4 Practice

1. Are the following calculations correct? If it is wrong, how should it be corrected?

(1)(x+2)(x-2)=x2-2; (2)(-3a-2)(3a-2)=9a2-4.

2. Calculate using the square difference formula:

(1)(a+3b)(a - 3b)=

(2)(3+2a)(-3+2a)=

(3)(-2x2-y)(-2x2+y)=

(4)51×49=

(5)(3x+4)(3x-4)-(2x+3)(3x-2)=

Among the following polynomial multiplications, the ones that can be calculated using the square difference formula are ( ):

(1) (x+1)(1+x); (2) (a+b)(b-a);

(3)(-a+b)(a-b); (4)(x2-y)(x+y2);

(5)(-a-b)(a-b); (6)(c2-d2)(d2+c2).

Calculate using the square difference formula:

(1)(5+6x)(5－6x); (2)(x－2y)(x+2y);

(3)(-m+n)(-m-n).

Keywords: Multiplication, division and factorization of integers courseware, multiplication formula courseware, New People's Education Edition eighth grade mathematics PPT courseware, eighth grade mathematics slide courseware download, multiplication, division and factorization of integers PPT courseware download, multiplication formula PPT courseware Download, .ppt format

For more information about the PPT courseware "Multiplication Formulas, Multiplication, Division and Factorization of Integers", please click the "Multiplication Formulas ppt Multiplication, Division and Factorization of Integers" ppt tag.

"Multiplication Formula" PPT:

"Multiplication Formula" PPT Part 1: Remember and calculate: (a + b)( c+ d)=ac+ad+ bd+bc Do (x + 1) (y - 1) = xy x + y - 1 1. (x+2) (x-2)= x2-2x +2x-22= x2- 4 2. (1+3a)(1-3a)= 1 - 3a +..

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 5:

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 5 1. Scenario introduction Ask students to explore the following questions: An old man likes children very much. Whenever children come to his home as guests, the old man will treat them with candy. If a child comes, the old man will give this...

"Multiplication Formula" Multiplication, division and factorization of integers PPT courseware 4:

"Multiplication Formula" Multiplication, Division and Factorization of Integers PPT Courseware 4 Review the old knowledge of the square difference formula (a + b) (a b) = a2 - b2 Then whether (a+b)(a+b) and (a-b)(a-b) Can it also be expressed using a formula? Explore Calculate the following expressions, what can you find...

File Info

Update Time: 2024-11-18

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

Preview