# 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) 10x
7 ÷ 2x 4
Solution :
= 10x
7 / 2x 4
= ( 10/2)x
7-4
= 5x
3
2) x
4 ÷ x 4
Solution :
= x
4 / x 4
= x
4-4
= x
0 = 1
3) -100a
3 ÷20a
Solution :
= -100a
3 / 20a
= (-100/20)a
3-1
= -5a
2
4) 5m
3 ÷√5 m
Solution :
= 5m
3 /√5 m
= (5/√5)m
3-1
=√5m
2
5) Divide 24x
2 y 2 z 2 by 6yz.
Solution :
= 24x
2 y 2 z 2 /6yz
= (24/6)x
2 y 2 -1 z 2-1
= 4x
2 yz
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Practice Problems
1) Divide by x 6 by x 2 monomials. (Ans)
2) Divide by 25y
5 by 5y 4 monomials. (Ans)
3) Divide by -200x
3 by 100x monomials. (Ans)
4)Divide by 25a
3 b 3 by 5ab monomials. (Ans)
5) Divide by 16 a
2 b 2 by 4a 3 b 3 monomials. (Ans)
6) Divide by 30 by 4a
3 b 3 monomials. (Ans)

Division of Algebraic Expressions

Division of Polynomial by Monomial
Division of Polynomial by Binomial

Algebraic Expression Page