In algebraic mathematics, a minus sign connects two dissimilar algebraic concepts to discover the difference between them. Due to the distinct literal coefficients, it is mathematically impossible to subtract one algebraic term from another in the situation of unlike algebraic terms.
As a result, the subtraction of dissimilar algebraic terms is simply written as an expression with a minus sign between them. This article will look at how to subtract Unlike Terms and how to improve your algebraic expressions understanding.
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What is meant by Subtraction of Unlike Terms?
Subtraction of unlike algebraic terms is a mathematical procedure that involves subtracting any two, unlike algebraic terms. The subtraction of unlike words is impossible. For instance, a – b will stay unchanged. Assume that the difference between two like words is a single like a term but that the difference between two, unlike terms, cannot be subtracted to provide a single term.
How do you Subtract Unlike Terms?
There are different scenarios that arise in the Subtraction of Unlike Terms. They are as such
Subtraction of two positive unlike terms:
To identify the difference between two positive unlike terms, say n from m, we must link both terms with a subtraction sign and describe the result as m – n.
As a result, the difference between two positive unlike words, m, and n, is equal to m – n.
Subtraction of positive and negative unlike terms:
To determine the difference between two dissimilar terms, for example, subtract -n from m, we must link both terms with a subtraction sign [m – (-n)] and write the result as m + n.
As a result, the difference between a positive and a negative is equal to m + n.
Subtraction of negative and positive unlike terms:
To determine the difference between two dissimilar terms, for example, take n from -m, we must link both terms with a subtraction sign [(-m) – n] and represent the result in the form -m – n.
As a result, the difference between the negative and positive terms -m and n = -m – n.
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Subtraction of negative and negative unlike terms:
To calculate the difference between two negative dissimilar words, say -n and -m, we must link both terms with a subtraction sign [(-m) – (-n)] and write the result as -m + n.
As a result, the difference between two negatively opposed terms -m and -n equals -m + n.
Subtracting Unlike Terms Examples
1. Subtract 6ab from 8bc?
It is impossible to combine the dissimilar terms 6ab and 8bc to make a single phrase. The only thing left to do is link them with a subtraction sign and leave the result in the form 6ab – 8bc.
2. 16x – 9y – 4x – 3x
9y = 16x – 4x – 3x
9x – 9y = (here 7y is an unlike term)
3. 8x – 7y
Because 8x and 7y are opposite terms, the situation will stay unchanged.
As a result, the solution is 3x – 7y.
4. 18x – 12y – 13x
18x – 13x – 12y =
5x – 12y = (here 12y is an unlike term)
FAQs on Unlike Terms Subtraction
1. What methods do we use to identify terms that are similar and dissimilar?
When the variables in an algebraic expression are the same while having different coefficients and exponents, those words are known as similar terms. When an expression has two separate variables or different exponents or coefficients, it is referred to as an, unlike term.
2. What does it mean to add and subtract algebraic expressions?
Addition and Subtraction of Algebraic Expressions are defined in a straightforward manner. It’s all about combining two or more monomials, which are similar phrases. The first step is to add coefficients while maintaining the same exponents and variables on variables. When subtracting two or more monomials with like terms, retain the exponents and variables on the variables as you did before.
3. How might similar terms in an algebraic equation be simplified?
Like words have the unique feature of being able to be simplified during an Algebraic Operation. The first step is to organize all of the similar terms in an algebraic equation in order of their sign (positive or negative).