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"Similar Items" PPT Courseware 2
The definition of homogeneous terms: items that contain _______ and have the same _______ of _______ are called homogeneous terms. Several constant terms are also ________.
Determine similar items: 1. Letters _____; 2. Indexes of the same letters are also _____ respectively. It has nothing to do with ______, and it has nothing to do with _______.
Rules for combining like terms: _______ addition, as the coefficient of the result, the letter and the exponent of the letter ______.
Example 2 First find the similar terms in the following polynomials, and then merge the similar terms:
(1) 4x2-8x+5-3x2+6x-2;
Solution: 4x2-8x+5-3x2+6x-2
=(4x2-3x2)+(-8x+6x)+(5-2)
= x2-2x+3;
(2)xy2-3y3-3x2y+2y3-x2y-xy2
Solution: xy2-3y3-3x2y+2y3-x2y-xy2
＝(xy2-xy2)+(-3y3+2y3)+(-3x2y-x2y)
=0-y3-4x2y
=-4x2y-y3
Steps to merge similar items:
1. Find similar items;
2. Combine similar items;
3. Merge similar items.
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"Merge similar items" PPT courseware 4:
"Combining Similar Terms" PPT Courseware 4 Mathematics exists everywhere in life. Things with the same characteristics can be classified into one category. In polynomials, terms with the same characteristics can also be classified into one category and then combined. Question 1: Above What terms are there in the polynomial of ? 3x2,..
"Merge similar items" PPT courseware 3:
"Combining Similar Items" PPT Courseware 3 Display Activity 1: What are similar items? Display requirements: 1. Accurately explain the concept of similar items; 2. Give some examples of similar items, which must be representative. Let our judgment be more accurate 1. Two are the same: the letters are the same, the same letters refer to...
"Merge similar items" PPT courseware 2:
"Combining Similar Terms" PPT Courseware 2 Independent Exploration: 1. Observe the following monomials, classify the formulas that you think are of the same type, and state the basis for classification -7ab, 2x, 3, 4ab2, 6ab, 0.6ab2, -3x -4.5 Classification basis: Containing the same letters, similar...