# Evaluate the Difference of Two Squares | Difference of Two Squares Problems

Are you looking for How to Evaluate the Difference of Two Squares Problems? We have given all Difference of Two Squares problems along with the evaluation of Difference of Two Squares with detailed explanation. Students can refer to all factorization problems on our website and begin their practice to score good marks in the exam.

## Solved Problems to Evaluate the Difference of Two Squares

Use the formula of the difference of two squares to evaluate the following algebraic expressions:

(i) (202)2 – (123)2

Solution:
Given expression is (202)2 – (123)2
The above equation (202)2 – (123)2 is in the form of a2 – b2.
(202)2 – (123)2
Now, apply the formula of a2 – b2 = (a + b) (a – b), where a = 202 and b = 123
(202 + 123) (202 – 123)
(325) (79)
25675

(ii) (600)2 – (598)2

Solution:
Given expression is (600)2 – (598)2
The above equation (600)2 – (598)2 is in the form of a2 – b2.
(600)2 – (598)2
Now, apply the formula of a2 – b2 = (a + b) (a – b), where a = 600 and b = 598
(600 + 598) (600 – 598)
(1198) (2)
2396

(iii) (4.2)2 – (2.1)2

Solution:
Given expression is (4.2)2 – (2.1)2
The above equation (4.2)2 – (2.1)2 is in the form of a2 – b2.
(4.2)2 – (2.1)2
Now, apply the formula of a2 – b2 = (a + b) (a – b), where a = 4.2 and b = 2.1
(4.2 + 2.1) (4.2 – 2.1)
(6.3) (2.1)
13.23

(iv) (97.8)2 – (0.4)2

Solution:
Given expression is (97.8)2 – (0.4)2
The above equation (97.8)2 – (0.4)2 is in the form of a2 – b2.
(97.8)2 – (0.4)2
Now, apply the formula of a2 – b2 = (a + b) (a – b), where a = 97.8 and b = 0.4
(97.8 + 0.4) (97.8 – 0.4)
(98.2) (97.4)
9564.68