喜欢和不喜欢代数术语

在跳到相似和不相似的术语之前，让我们了解什么是代数术语?让我们通过一个例子来理解它。 5x + 3y ² = 12是一个代数方程。它由3个项组成，即5x，3y²和12 。前两项由变量组成，而12为常数。 5x + 3y ²是一个代数表达式。它有两个项5x和3y ² 。 在本文中，我们将学习类似和不像代数术语。

喜欢条款

这些是具有相同变量的术语，并且每个变量对它们具有相同的指数幂。可以组合相似的术语来简化代数表达式，以便可以非常轻松地计算表达式的结果。例如，3y + 5y是具有相似项的代数表达式。为了简化此代数表达式，我们可以添加类似的术语。因此，给定表达式的简化为8y。以相同的方式，可以对相似的项执行所有算术运算。

例子

在此，每个术语具有相同的变量和相同的功效。

1. 40xy² & 56xy²: In the first example xy² is the common coefficient for both terms. So, they fall into the category of like variables.
2. 30z² & 18z²: Here z² is the common coefficient for both terms. So, they fall into the category of like variables.
3. 45abc & 29abc: Here abc is the common coefficient for both the terms. So, they fall into the category of like variables.
4. 18r³ & 38r³: Here r³ is the common coefficient for both terms. So, they fall into the category of like variables.
5. 2xy & 8xy: Here xy is the common coefficient for both the terms. So, they fall into the category of like variables.

与条款不同

这些是具有不同变量的术语，并且每个变量对其具有不同的指数幂。例如，9x + 6y是具有不同术语的代数表达式。因为它有两个不同的变量x和y，并且没有提高到相同的幂。

例子

1. 40xy² & 56xy: Here, One has variables xy² and the other has variables xy. Both have the same variables but with different exponents related to them. So, they fall into the category of unlike terms.
2. 30z² & 18z: Here, One has variables z² and the other has variables z. Both have the same variables but with different exponents related to them. So, they fall into the category of unlike terms.
3. 45abc & 29ab: Here, One has variables abc and the other has variables ab. Both have different variables related to them. So, they fall into the category of unlike terms.
4. 18r³ & 38r: Here, One has variables r³ and the other has variables r. Both have the same variables but with different exponents related to them. So, they fall into the category of unlike terms.
5. 2xy & 8x: Here, One has variables xy and the other has variables x. Both have different variables related to them. So, they fall in the category of unlike terms.

下面是一些使这两个术语更清楚的示例。

问题1.找出像不像从给定的条件方面：3倍，5xy，18X ² Y，5 ^{3，29xy，50X 3?}

解决方案：

Like terms: (5xy, 29xy), (5x³, 50x³)

Unlike terms: 3x, 18x²y

问题2.查找像67X ³从给定的条件方面：3倍，5xy，18X ² Y，5 ^{3，29xy，50X 3?}

解决方案：

Like terms: 5x³, 50x³

问题3.查找不像67X ³从给定的条件方面：3倍，5xy，18X ² Y，5 ^{3，29xy，50X 3?}

解决方案：

Unlike terms:  3x, 5xy, 18x²y, 29xy.