Multiplication of Monomials
Multiplication of Algebraic Expressions
When we have two algebraic expressions which are to be multiplied, then we follow the common rule taking one term of one expression and multiplying it with all the terms of the other expression.
The result so obtained is called the product of the two expressions. These two expressions are called the factors or multiplicant. The multiplicant in a multiplication operation maybe two monomial, one monomial, and one binomial, two binomials of two polynomials.
Multiplication of Two Monomials: The multiplication of two monomial, say, 3ab and 5b. We shall perform the multiplication of these two monomial by the repeated use of commutativity and associativity of multiplication. In the multiplication of algebraic expression, We will follow two simple rules.
(i) The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.
(ii) if x is a variable and m, n are positive integers, then
Thus,
Rule For Multiplication of Two Monomial:
Product of two monomial = (product of their numerical coefficients) × (product of their variable parts)
Illustration: Find the product of 4 and 7x
Solution :
Illustration: Find the product of 4 and (3x + 4y).
Solution :
Rewrite each of these expressions in its simplest form : | |||
| Right Option : C | |||
| View Explanation | |||
Write these without multiplication signs. 1Xx | |||
| Right Option : A | |||
| View Explanation | |||
Write these without multiplication signs. 2X(3x-2) | |||
| Right Option : A | |||
| View Explanation | |||
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