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Home >> Polynomials >> Subtraction of Polynomials >> Subtraction of Monomials >>

Subtraction of Monomials

Subtraction of Monomials Subtraction of Binomials Subtraction of Trinomials

What are Like Terms
What are Unlike Terms ?
How to subtract Like Terms ?

While subtracting one monomial from another monomial, we only do the subtraction of numeric parts or constant and keep the variable part as such.

Here we must note that one monomial is subtracted from other monomials when both have like terms.
Or we can also say that:
Subtraction of Monomials having unlike terms is not possible, when they have unlike terms

E.g. Monomials 10x can be subtracted from 32x because both have like terms
While monomials 10p cannot be subtracted from 32q because both have unlike terms.

Subtraction of Monomials with like terms is similar to subtraction of like terms.

Let's understand subtraction of monomials from the following two examples:

Example 1: Subtract 10ab from 12ab
Solution: This proceeds as:

12ab - 10ab

Subtract constants and keep variable as such & we get:
= (12 - 10)ab

Solve brackets and we get:
= 2ab

Hence, 12ab - 10ab = 2ab




Example 2: solve (5x2 - 4x2)
Solution: This proceeds as:
5x2 - 4x2

Subtract constants and keep variable as such & we get:
= (5 - 4)x2

Solve brackets and we get:
= 1x2

Or we can also write it as:
= x2

Hence, (5x2 - 4x2) = x2

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