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Today, 04:12

What is the factored form of the binomial expansion 81x^2 + 144xy + 64y^2?

(9x - 8y) ^2

(9x + 8y) ^2

(3x - 4y) ^2

(3x + 4y) ^2

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Answers (2)
  1. Today, 05:20
    0
    (9x+8y) ^2

    Step-by-step explanation:

    81x^2 + 144xy + 64y^2

    We recognize that this is a perfect square trinomial

    perfect square trinomial is of the form: and factors to

    (ax) 2 + 2abx + b2 = (ax + b) 2

    (9x) ^2 + 2 * 9x * 8y + (8y) * 2 = (9x+8y) ^2
  2. Today, 06:44
    0
    option b)

    Step-by-step explanation:

    a² + 2ab + b² = (a + b) ²

    81x² = 9*9*x² = (9x) ²

    64y² = 8*8*y² = (8y) ²

    81x² + 144xy + 64y² = (9x) ² + 2 * 9x * 8y + (8y) ²

    = (9x + 8y) ²
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