Math, asked by llMadhull, 3 months ago

Explain the Division of algebraic expression...​

Answers

Answered by TheRose06
5

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  • In division of algebraic expression if x is a variable and m, n are positive integers such that m > n then (xᵐ ÷ xⁿ) = xm- n.
Answered by Studyingkid
4

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Division of Algebraic Expressions is the opposite process of multiplication. In algebra, the division is similar to the division

done in arithmetic.

In division of Algebraic-Expressions, we use the

laws of exponents. There are different types of division.

1) Monomial by monomial.

2) Polynomial by monomial. 3) Polynomial by binomial.

While dividing a monomial by a monomial, we follow the following two rules:

• The coefficients of the quotient of two

monomials is equal to the quotient of their coefficients. • The variable part in the quotient of two monomials is equal to the quotient of the variables in the given monomials.

as\:we \: know \: that \: division \: is \: the \\ inverse \: operation \: of \: multiplication

let \: us \: consider

3x \times 5x ^{3}  = 15x ^{4}

 15x^{4}  \div 5x^{3} and \: 15x ^{4}  \div   3x = 5x ^{3}

similarly \: consider \: 6a(a + 5) = 6a ^{2}  + 30a

therefore \: (6a ^{2}  + 30a ^{2} ) \div 6a = a + 5

and \: also \: (6a ^{2}  + 3a) \div (a + 5) = 6a

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