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 a^{2} – b^{2}.

(202)^{2} – (123)^{2}

Now, apply the formula of a^{2} – b^{2} = (a + b) (a – b), where a = 202 and b = 123

(202 + 123) (202 – 123)

(325) (79)

25675

The final answer is 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 a^{2} – b^{2}.

(600)^{2} – (598)^{2}

Now, apply the formula of a^{2} – b^{2} = (a + b) (a – b), where a = 600 and b = 598

(600 + 598) (600 – 598)

(1198) (2)

2396

The final answer is 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 a^{2} – b^{2}.

(4.2)^{2} – (2.1)^{2}

Now, apply the formula of a^{2} – b^{2} = (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

The final answer is 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 a^{2} – b^{2}.

(97.8)^{2} – (0.4)^{2}

Now, apply the formula of a^{2} – b^{2} = (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

The final answer is 9564.68.

(v) (8.4)^{2} – (1.8)^{2}

Solution:

Given expression is (8.4)^{2} – (1.8)^{2}

The above equation (8.4)^{2} – (1.8)^{2 }is in the form of a^{2} – b^{2}.

(8.4)^{2} – (1.8)^{2}

Now, apply the formula of a^{2} – b^{2} = (a + b) (a – b), where a = 8.4 and b = 1.8

(8.4 + 1.8) (8.4 – 1.8)

(10.2) (6.6)

67.32

The final answer is 67.32.