Division of  Algebraic Expressions

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.

Division of a monomial by a monomial
1) 10x⁷ ÷ 2x⁴
Solution :
= 10x⁷/ 2x⁴
= ( 10/2)x^7-4
= 5x³
2) x⁴÷ x⁴
Solution :
= x⁴/ x⁴
= x^4-4
= x⁰ = 1
3) -100a³÷20a
Solution :
= -100a³/ 20a
= (-100/20)a^3-1
= -5a²
4) 5m³÷√5 m
Solution :
= 5m³/√5 m
= (5/√5)m^3-1
=√5m²
5) Divide 24x²y²z² by 6yz.
Solution :
= 24x²y²z²/6yz
= (24/6)x²y^{2 -1}z^2-1
= 4x²yz
_______________________________________________________________

Practice Problems 1) Divide by x⁶ by x² monomials.(Ans)
2) Divide by 25y⁵ by 5y⁴ monomials.(Ans)
3) Divide by -200x³ by 100x monomials.(Ans)
4)Divide by 25a³b³ by 5ab monomials.(Ans)
5) Divide by 16 a²b² by 4a³b³ monomials.(Ans)
6) Divide by 30 by 4a³b³ monomials.(Ans)

---

Division of Algebraic Expressions

• Division of Polynomial by Monomial
• Division of Polynomial by Binomial

Algebraic Expression Page

Home Page