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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

Melissa Norris

in Mathematics

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Alexa Spicer on August 17, 2018

Q1. The answer is (x – 14)(x + 14)x2 - 196 = x2 - 142a2 - b2 = (a - b)(a + b)a = x, b = 14x2 - 196 = x2 - 142 = (x - 14)(x + 14)Q2. The answer is (3x - 8)(3x + 8)9x2 - 64 = (3x)2 - 82a2 - b2 = (a - b)(a + b) = 3x, b = 89x2 - 64 = (3x)2 - 82 = (3x - 8)(3x + 8)Q3. The answer is (7x - 4)249x2 - 56 x + 16 = (7x)2 - 2 * 7x * 4 + 42(a - b)2 = a2 - 2ab + b2a = 7x, b = 449x2 - 56 x + 16 = (7x)2 - 2 * 7x * 4 + 42 = (7x - 4)2


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