What is the factored form of x2 - 196?

(x - 14) 2

(x + 14) 2

(x - 28) (4x + 7)

(x - 14) (x + 14)

What is the factored form of 9x2 - 64?

(3x - 8) 2

(3x + 8) 2

(3x - 8) (3x + 8)

(9x - 8) (x + 8)

What is the factored form of 49x2 - 56x + 16?

(7x - 4) 2

(7x + 4) (7x - 4)

(7x + 4) 2

(7x - 8) 2

Q1. The answer is (x - 14) (x + 14)

x² - 196 = x² - 14²

a² - b² = (a - b) (a + b)

a = x, b = 14

x² - 196 = x² - 14² = (x - 14) (x + 14)

Q2. The answer is (3x - 8) (3x + 8)

9x² - 64 = (3x) ² - 8²

a² - b² = (a - b) (a + b)

a = 3x, b = 8

9x² - 64 = (3x) ² - 8² = (3x - 8) (3x + 8)

Q3. The answer is (7x - 4) ²

49x² - 56x + 16 = (7x) ² - 2 * 7x * 4 + 4²

(a - b) ² = a² - 2ab + b²

a = 7x, b = 4

49x² - 56x + 16 = (7x) ² - 2 * 7x * 4 + 4² = (7x - 4) ²