"Similar Items" PPT Courseware 2

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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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Update Time: 2024-10-31

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