Introduction to merging similar projects:
Merging similar items is the use of multiplication and division, and the coefficients of similar items are added, and the results obtained are unchanged as coefficients, letters and indexes, which is actually the reverse application of multiplication and division. Items with the same letters and the same index are called similar items.
Merger rules:
After merging similar items, the coefficients of the obtained items are the sum of the coefficients of similar items before merging, and the letters and their indexes remain unchanged. The letters are unchanged, and the coefficients are added and subtracted. The coefficients of similar items are added together, and the results are taken as coefficients, and the indexes of letters and letters remain unchanged.
Supplementary explanation:
If two monomials contain the same letters and the index of each letter is the same, they are called similar terms. In particular, all constant terms are similar terms.
Merging similar terms in polynomials into one term is called merging similar terms (or merging similar terms). The combination of similar items should follow this law: the coefficients of similar items are added, and the result is taken as the coefficient, and the index of letters remains unchanged.
Introduction of equations and related concepts;
1, Introduction
An equation refers to an equation containing unknowns. It is an equation that represents the equal relationship between two mathematical expressions (such as two numbers, functions, quantities and operations), and the value of the unknown quantity that makes the equation hold is called "solution" or "root". The process of finding the solution of the equation is called "solving the equation".
By solving the equation, we can avoid the difficulty of reverse thinking and directly list the equations with the quantity to be solved. There are many forms of equations, such as one-dimensional linear equation, two-dimensional linear equation, one-dimensional quadratic equation and so on. , can also be combined into equations to solve multiple unknowns. In mathematics, an equation is a statement containing one or more variables.
2. Related concepts
Equation, referred to as equation for short, is an equation with unknown numbers. That is, there must be an algebraic expression containing one or more unknowns in the equation; An equation is an equation, but it is not necessarily an equation. Unknown number: usually x.y.z is unknown, and other letters can be set, all lowercase letters can be used. "Quadratic": The concept of quadratic in the equation is similar to algebraic expression.