Expand using suitable identities: (a² + b²)²

Solution:

Given, (a² + b²)²

Using standard identity: (x + y)² = x² + 2xy + y²

Here, x = a² and y = b²

(a² + b²)² = (a²)² + [2(a²)(b²)] + (b²)²

= a⁴ + 2a²b² + b⁴

✦ Try This: Expand using suitable identities: (3p² + 2q²)²

Using standard identity: (x + y)² = x² + 2xy + y²

(3p² + 2q²)² = (3p²)² + [2(3p²)(2q²)] + (2q²)²

= 9p⁴ + 12p²q² + 4q⁴

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 85(xiii)

Expand using suitable identities: (a² + b²)²

Summary:

Expanding (a² + b²)² we get, a⁴ + 2a²b² + b⁴

☛ Related Questions:

• Expand using suitable identities: (7x + 5)²
• Expand using suitable identities: (0.9p - 0.5q)²
• Expand using suitable identities: x²y² = (xy)²