Expand using suitable identities: [(4/5)p + (5/3)q]²

Solution:

Given, [(4/5)p + (5/3)q]²

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

Here, x = (4/5)p and y = (5/3)q

[(4/5)p + (5/3)q]² = [(4/5)p]² + 2[(4/5)p][(5/3)q] + [(5/3)q]²

= (16/25)p² + (8/3)pq + (25/9)q²

✦ Try This: Expand using suitable identities: [(2/9)a - (9/2)b]²

Given, [(2/9)a - (9/2)b]²

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

[(2/9)a - (9/2)b]² = [(2/9)a]² - 2(2/9)a(9/2)b + [(9/2)b]²

= 4a²/81 - 2ab + 81b²/4

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

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

Expand using suitable identities: [(4/5)p + (5/3)q]²

Summary:

Expanding [(4/5)p + (5/3)q]² we get, (16/25)p² + (8/3)pq + (25/9)q²

☛ Related Questions:

• Expand using suitable identities: (x + 3)(x + 7)
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• Expand using suitable identities: [(4x/5) + (y/4)] [(4x/5) + (3y/4)]