The value of 249² - 248² is
a. 1²
b. 477
c. 487
d. 497

Solution:

It is given that

249² - 248²

Using the algebraic identity a² - b² = (a + b) (a - b)

= (249 + 248) (249 - 248)

By further calculation

= 497 x 1

= 497

Therefore, the value is 497.

✦ Try This: The value of 126² - 125² is

It is given that

126² - 125²

Using the algebraic identity a² - b² = (a + b) (a - b)

= (126 + 125) (126 - 125)

By further calculation

= 251 x 1

= 251

Therefore, the value is 251.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

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NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 15

The value of 249² - 248² is a. 1², b. 477, c. 487, d. 497

Summary:

The terms of polynomials are defined as the parts of the expression that are separated by the operators "+" or "-". The value of 249² - 248² is 497

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