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

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