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21 March, 06:05

Factor 125x3 + 343y3

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Answers (1)
  1. 21 March, 07:19
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    (5x + 7y) (25x² - 35xy + 49y²)

    Step-by-step explanation:

    125x³ + 343y³ ← is a sum of cubes and factors in general as

    a³ + b³ = (a + b) (a² - ab + b²)

    125x³ = (5x) ³ ⇒ a = 5x

    343y³ = (7y) ³ ⇒ b = 7y

    125x³ + 343y³

    = (5x + 7y) ((5x) ² - (5x * 7y) + (7y) ²)

    = (5x + 7y) (25x² - 35xy + 49y²) ← in factored form
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