Simplify: (4.5a + 1.5b)² + (4.5b + 1.5a)²

Solution:

Given, (4.5a + 1.5b)² + (4.5b + 1.5a)²

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

(4.5a + 1.5b)² + (4.5b + 1.5a)²

= 20.25a² + 2(4.5)(1.5)ab + 2.25b² + 20.25b² + 2(4.5)(1.5)ab + 2.25a²

= 20.25a² + 2.25a² + 13.5ab + 13.5ab + 2.25b² + 20.25b²

= 22.5a² + 27ab + 22.5b²

✦ Try This: Simplify: (2.5p + 1.2q)² + (2.5q + 1.2p)²

Given, (2.5p + 1.2q)² + (2.5q + 1.2p)²

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

(2.5p + 1.2q)² + (2.5q + 1.2p)²

= 6.25p² + 6pq + 1.44q² + 6.25q² + 6pq + 1.44p²

= 7.69p² + 12pq + 7.69q²

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 84(xi)

Simplify: (4.5a + 1.5b)² + (4.5b + 1.5a)²

Summary:

Simplifying (4.5a + 1.5b)² + (4.5b + 1.5a)² we get, 22.5a² + 27ab + 22.5b²

☛ Related Questions:

• Simplify: (pq - qr)² + 4pq²r
• Simplify: (s²t + tq²)² - (2stq)²
• Expand using suitable identities: (xy + yz)²