Simplify: [(3/4)x - (4/3)y]² + 2xy

Solution:

Given, [(3/4)x - (4/3)y]² + 2xy

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

Here, a = (3/4)x and b = (4/3)y

[(3/4)x - (4/3)y]² + 2xy ⇒ [(3/4)x]² - 2((3/4)x) ((4/3)y) + [(4/3)y]² + 2xy

= (9x²/16) - 2xy + (16y²/9) + 2xy

= (9x²/16) + (16y²/9)

✦ Try This: Simplify: [(5/3)p - (3/5)q]² + 4pq

Given, [(5/3)p - (3/5)b]² + 4pq

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

Here, a = (5/3)p and b = (3/5)q

= [(5/3)p - (3/5)q]² + 4pq

= (25p²/9) - 2pq + (9q²/25) + 4pq

= (25p²/9) + 2pq + (9q²/25)

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

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

Simplify: [(3/4)x - (4/3)y]² + 2xy

Summary:

Simplifying: [(3/4)x - (4/3)y]² + 2xy we get (9x²/16) + (16y²/9)

☛ Related Questions:

• Simplify: (1.5p + 1.2q)² - (1.5p - 1.2q)²
• Simplify: (2.5m + 1.5q)² + (2.5m - 1.5q)²
• Simplify: (x² - 4) + (x² + 4) + 16