Expand using suitable identities: (0.9p - 0.5q)²

Solution:

Given (0.9p - 0.5q)²

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

Here, a = 0.9p and b = 0.5q

(0.9p - 0.5q)² = (0.9p)² - [2 (0.9p)(0.5q)] + (0.5q)²

= 0.81p² - 0.9pq + 0.25q²

✦ Try This: Expand using suitable identities: (0.6x + 0.4y)²

Given (0.6x + 0.4y)²

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

Here, a = 0.6x and b = 0.4y

(0.6x + 0.4y)² = (0.6x)² + 2(0.6x)(0.4y) + (0.4y)²

= 0.36x² + 0.48xy + 0.16y²

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

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

Expand using suitable identities: (0.9p - 0.5q)²

Summary:

Expanding (0.9p - 0.5q)² we get, 0.81p² - 0.9pq + 0.25q²

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