Simplify: (1.5p + 1.2q)² - (1.5p - 1.2q)²

Solution:

Given, (1.5p + 1.2q)² - (1.5p - 1.2q)²

Using standard identities: a² - b² = (a + b)(a - b)

Here, a = 1.5p + 1.2q and b = 1.5p - 1.2q

(1.5p + 1.2q)² - (1.5p - 1.2q)²

= ( 1.5p + 1.2q + 1.5p - 1.2q )(1.5p + 1.2q - (1.5p - 1.2q))

=(3p)(2.4q) = 7.2pq

✦ Try This: Simplify: (3.5a + 2.2b)² - (3.5a - 2.2b)²

Given, (3.5a + 2.2b)² - (3.5a - 2.2b)²

Using standard identities: a² - b² = (a + b)(a - b)

Here, a = 3.5a + 2.2b and b = 3.5a - 2.2b

(3.5a + 2.2b)² - (3.5a - 2.2b)²

= (3.5a + 2.2b+3.5a - 2.2b)(3.5a + 2.2b - (3.5a - 2.2b))

=(7a)(4.4b)

= 30.8ab

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

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

Simplify: (1.5p + 1.2q)² - (1.5p - 1.2q)²

Summary:

Simplifying (1.5p + 1.2q)² - (1.5p - 1.2q)² we get, 7.2pq

☛ Related Questions:

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