"Formula of Squared Differences" PPT courseware 2

Description

"Formula of Squared Differences" PPT courseware 2

How do polynomials multiply?

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

(x + 1)(x-1)

=x2-1·x+1·X-1·1

=x2－1

Calculate and compare to see who can calculate faster and more accurately

Calculate the following questions

①(x + 4)(x-4)

②(1 + 2a)(1-2a)

③（m＋6n)(m－6n）

④(5y + z)(5y-z)

Square difference formula:

(a+b)(a−b)=a2−b2

The product of the sum of two numbers and the difference of the two numbers is equal to the squared difference of the two numbers.

Formula variant:

1. (a – b) (a + b) = a2 – b2

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

example

Example 1: Calculate using square difference formula

(1)(3x+2y)(3x-2y)

Solution: Original formula = (3x)2 - (2y)2

=9x2-4y2

1. First compare the formula to be calculated with the formula,

2. Which one is a and which one is b?

Calculate using the square difference formula:

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

=(a)2－(3b)2

=a2－9b2;

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

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

=(2a)2－32

=4 a2-9;

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

=(-2x2 )2－y2

=4x4－y2.

Class summary

What did you gain from the content of this lesson?

A formula: (a+b)(a-b)=a2-b2

Two functions

(1) Simplify the multiplication operations of certain polynomials

(2) Provide a quick calculation method for rational number multiplication

three expressions

a and b in the formula can represent

(1) Monomial

(2) Specific number

(3)Polynomial

Keywords: Square Difference Formula Teaching Courseware, Qingdao Edition 7th Grade Mathematics Volume 2 PPT Courseware Download, 7th Grade Mathematics Slide Courseware Download, Square Difference Formula PPT Courseware Download, .PPT format;

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Update Time: 2024-09-01

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