a² - b² is equal to
(a) (a - b)²
(b) (a - b) (a - b)
(c) (a + b) (a - b)
(d) (a + b) (a + b)

Solution:

Correct option is (c ).

Standard identity : a² - b² = (a + b) (a - b)

✦ Try This: (a + b)² is equal to (i) a² + b², (ii) a² - b², (iii) a² + b² + 2ab, (iv) a² + b² - 2ab

Correct option is (iii).

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

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 16

a² - b² is equal to (a) (a - b)², (b) (a - b) (a - b), (c) (a + b) (a - b), (d) (a + b) (a + b)

Summary:

a² - b² is equal to (a + b) (a - b)

☛ Related Questions:

• Common factor of 17abc, 34ab², 51a²b is (a) 17abc (b) 17ab (c) 17ac (d) 17a²b²c
• Square of 9x – 7xy is (a) 81x² + 49x²y² (b) 81x² – 49x²y² (c) 81x² + 49x²y² –126x²y (d) 81x² + 49x²y . . . .
• Factorised form of 23xy – 46x + 54y – 108 is (a) (23x + 54) (y – 2) (b) (23x + 54y) (y - 2) (c) (23x . . . .