(a - b)² + ____________ = a² - b²

Solution:

Let (a - b)² + X = a² - b²

Now using the identity (a - b)² = a² - 2ab + b², we get

a² - 2ab + b² + X = a² - b²

⇒X = 2ab - 2b²

✦ Try This: (a + b)² + ____________ = a² - b²

Let (a + b)² + X = a² - b²

Now using the identity (a + b)² = a² + 2ab + b², we get

a² + 2ab + b² + X = a² - b²

⇒X = - 2ab - 2b²

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 39

(a - b)² + ____________ = a² - b²

Summary:

(a - b)² + 2ab - 2b² = a² - b²

☛ Related Questions:

• (a + b)² - 2ab = ___________ + ____________
• (x + a) (x + b) = x² + (a + b) x + ________
• The product of two polynomials is a ________