Simplification of Algebraic Expressions: Basic Problems, Solutions and Practice

Condition: For algebraic fractions, all denominators and all expressions used as divisors must be non-zero.

🔹 01. Express in simplest form.

Solution+
∵
=
∵
= Ans.

🔹 02. Simplify .

Solution+
∵
=
[ ∵ x2 − y2 = (x + y)(x − y) ]
= x − y Ans.

🔹 03. Simplify .

Solution+
∵
=
[ ∵ a3 + b3 = (a + b)(a2 − ab + b2) ]
= x2 − xy + y2 Ans.

🔹 04. Simplify .

🔹 05. Simplify .

Solution+
∵
∵
∵
∵
= 1 Ans.

🔹 06. Simplify .

Solution+
∵

=

=

=

=

= Ans.

🔹 07. Simplify .

Solution+
∵

=

=

=

= Ans.

🔹 08. What is the simplest value of

Solution+
∵

=

=

=

= Ans.

🔹 09. What is the simplest value of

🔹 10. What is the simplest value of

🔹 11. What is the simplest value of

🔹 12. What is the simplest value of

🔹 13. What is the simplest value of

🔹 14. What is the simplest value of

🔹 15. What is the simplest value of

🔹 17. What is the simplest value of

🔹 18. What is the simplest value of

🔹 19. What is the simplest value of

🔹 20. What is the simplest value of

🔹 21. What is the simplest value of

🔹 22. how much?

🔹 23. -to Express in simplest form।

🔹 24. -to Express in simplest form।

🔹 25. -to Express in simplest form।