📚 Collecting Like Terms in IGCSE Algebra | IGCSE 代数:合并同类项
Collecting like terms is the process of simplifying an algebraic expression by adding or subtracting terms that have exactly the same variable parts. This skill appears throughout IGCSE Mathematics, from basic simplification to solving equations, expanding brackets and rearranging formulae.
合并同类项是通过对变量部分完全相同的项进行加减来化简代数表达式的过程。这项技能贯穿 IGCSE 数学始终,从基本化简到解方程、展开括号和公式变形都会用到。
Mastering this topic helps you write answers in their simplest form and reduces the chance of making errors in longer algebra problems.
掌握这个主题有助于你写出最简形式的答案,并减少在较长的代数题目中出错的可能性。
1. What Are Like Terms? | 什么是同类项
An algebraic term is a single number, a variable, or a product of numbers and variables. Terms are called like terms when they have exactly the same variable factors raised to exactly the same powers. The coefficients, or the numbers in front, may be different.
代数项是一个单独的数、一个变量,或数与变量的乘积。如果项具有完全相同的变量因式并且次数完全相同,就称为同类项。系数,也就是前面的数,可以不同。
- 3x and -7x are like terms — 3x 和 -7x 是同类项。
- 4x² and 2x² are like terms — 4x² 和 2x² 是同类项。
- 5xy and -2xy
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