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# 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

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