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23 February, 05:54

Which of the following is the correct factorization of the polynomial below?

27x^3 + 64y^3

A. (4x + 3y) (2x+8y)

O B. (4x + 3y) (9x2 - 12xy + 16y2)

C. (3x + 4y) (9x2 - 12xy + 16y2)

D. The polynomial is irreducible.

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Answers (1)
  1. 23 February, 08:15
    0
    Answer option C

    27x³+64y³

    it's written as

    (3x) ³ + (4y) ³

    Now by using identify

    a³+b³ = (a+b) (a²-ab+b²)

    (3x) ³ + (4y) ³ = (3x+4y) { (3x) ² - 3x*4y + (4y) ²}

    → (3x+4y) (9x²-12xy+16y²)

    So required answer is option C
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