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19 January, 08:52

Find the factors of (25x^2-1) + (1+5x) ^2

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Answers (2)
  1. 19 January, 09:06
    0
    Answer: 5^3 (x+1/5) ^2 (x-1/5)
  2. 19 January, 09:14
    0
    10x (1 + 5x)

    Step-by-step explanation:

    Note that

    25x² - 1 ← is a difference of squares and factors as

    (5x) ² - 1² = (5x - 1) (5x + 1), thus

    (25x² - 1) + (1 + 5x) ²

    = (5x - 1) (5x + 1) + (1 + 5x) ² ← factor out (1 + 5x) from each term

    = (1 + 5x) (5x - 1 + 5x + 1)

    = (1 + 5x) (10x)

    = 10x (1 + 5x)
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