(a + b)² - 2ab = ___________ + ____________

Solution:

(a + b)² - 2ab = a² + b²

Given, (a + b)² - 2ab

Using standard identity (a + b)² = a² + 2ab + b²

(a + b)² - 2ab = [a² + 2ab + b²] - 2ab

= a² + b²

✦ Try This: (a - b)² - (a + b)² = ________

Using standard identity (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²

(a - b)² - (a + b)² = (a² - 2ab + b²) - (a² + 2ab + b²)

= a² - 2ab + b² - a² - 2ab - b²

= - 4ab

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 40

(a + b)² - 2ab = ___________ + ____________

Summary:

(a + b)² - 2ab = a² + b²

☛ Related Questions:

• (x + a) (x + b) = x² + (a + b) x + ________
• The product of two polynomials is a ________
• Common factor of ax² + bx is __________