67² - 37² = (67 - 37) × ________ = _________

Solution:

67² - 37² = (67 - 37) × (67 + 37) = 3120.

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

Here, a = 67 and b = 37

✦ Try This: 271² - 29²

We have the identity: a² - b² = (a - b) (a + b)

Here a = 271 and b = 29

∴ 271² - 29² = (271 - 29) (271 + 29)

= 242 × 300

= 72600

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 48

67² - 37² = (67 - 37) × ________ = ________

Summary:

67² - 37² = (67 - 37) × (67 + 37) = 3120

☛ Related Questions:

• 103² – 102² = ________ × (103 – 102) = ________
• Area of a rectangular plot with sides 4x² and 3y² is _______
• Volume of a rectangular box with l = b = h = 2x is ______