The subtraction of unlike terms cannot be subtracted. For example, a - b will remain same as it is. Suppose the difference between two like terms is a single like term; but the two unlike terms cannot be subtracted to get a single term.
Subtraction of two positive unlike terms:
To find the difference of two positive unlike terms suppose, take n from m, we need to connect both the terms by using a subtraction sign and express the result in the form of m - n.
Therefore, the difference of two positive unlike terms m and n = m - n.
Subtraction of positive and negative unlike terms:
To find the difference of a positive and a negative unlike terms suppose, take -n from m, we need to connect both the terms by using a subtraction sign [m - (-n)] and express the result in the form of m + n.
Therefore, the difference of a positive and a negative unlike terms m and -n = m + n.
Subtraction of negative and positive unlike terms:
To find the difference of a negative and a positive unlike terms suppose, take n from -m, we need to connect both the terms by using a subtraction sign [(-m) - n] and express the result in the form of -m - n.
Therefore, the difference of a negative and a positive unlike terms -m and n = -m - n.
Subtraction of negative and negative unlike terms:
To find the difference of two negative unlike terms suppose, take -n from -m, we need to connect both the terms by using a subtraction sign [(-m) - (-n)] and express the result in the form of -m + n.
Therefore, the difference of two negative unlike terms -m and -n = -m + n.
For example:
1. The unlike
terms 2ab and 4bc cannot be subtracted to form a single term. All that
which can be done is to connect them by the sign of subtraction and
leave the result in the form 2ab - 4bc.
2. 11x - 7y -2x - 3x.
= 11x - 2x - 3x - 7y.
= 6x - 7y (here 7y is an unlike term)
3. 3x - 7y
Here 3x and 7y both are unlike terms so it will remain as it is.
Therefore, the answer is 3x - 7y
4. 15x - 12y - 11x
= 15x - 11x - 12y
= 4x - 12y (here 12y is an unlike term)
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Adding and Subtracting Like Terms
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● Terms - Worksheets
Worksheet on Like and Unlike Terms
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