Multiplication of two monomials means product of their numerical coefficients and product of their literal coefficients.

According to the power of literal quantities we can express, m

Therefore, multiplication of m

= (m × m) × (m × m × m)

= m × m × m × m × m

= mOr, in other way we can simply add the powers since the base is same. In case of m

Similarly, we can multiply the two monomials 7a

7a

= 7a

= (7 × a × a × b) × (5 × a × b × b)

= (7 × 5) × (a × a × a) × (b × b × b)

= 35a

= (7 × 5) ∙ a

= 35a

Therefore, to multiply two monomials, multiply their coefficients together and prefix their product to the product of letters in the monomials.

Examples on multiplication of two monomials:

9a

= (9 × a × a × b × b × b) × (2 × b × b × c × c × c × c × c) × (3 × a × c × c)

= (9 × 2 × 3) × (a × a × a) × (b × b × b × b × b) × (c × c × c × c × c × c × c)

= 54 × a

= 54a

-9x

= (-9 × 5/3 × -7) × (x

Now we need to add the powers of the same bases i.e. x, y and z.

= (315/3) × (x

= 105 × x

= 105x

**● ****Terms of an Algebraic Expression**

Types of Algebraic Expressions

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

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**● ****Terms of an Algebraic Expression - Worksheet**

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

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Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

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