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# The value of (a + b)² + (a - b)² is

(a) 2a + 2b

(b) 2a - 2b

(c) 2a² + 2b²

(d) 2a² - 2b²

**Solution:**

Correct option is (c).

Given, (a + b)² + (a - b)²

We have standard identities, (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²

∴ (a + b)² + (a - b)² = a² + 2ab + b² + a² - 2ab + b²

= 2a² + 2b²

**✦ Try This: **The value of (a + b)² - (a - b)² is (a) 4, (b) ab, (c) 4ab, (d) - 4ab

Correct option is(c)

Given, (a + b)² - (a - b)²

We have standard identities, (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²

∴ (a + b)² + (a - b)² = a² + 2ab + b² - [ a² - 2ab + b²]

= a² + 2ab + b² - a² + 2ab - b²

= 4ab

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

**NCERT Exemplar Class 8 Maths Chapter 7 Problem 32**

## The value of (a + b)² + (a - b)² is (a) 2a + 2b, (b) 2a - 2b, (c) 2a² + 2b², (d) 2a² - 2b²

**Summary:**

The value of (a + b)² + (a - b)² is 2a² + 2b²

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