What is the factorization of 36b^4 – 64?

Question

What is the factorization of 36b^4 – 64?

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Ayla 4 days 2021-10-10T02:05:24+00:00 1 Answer 0

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    2021-10-10T02:07:03+00:00

    Answer:

    4(3b² + 4)(3b² – 4)

    Step-by-step explanation:

    Given

    36b^{4} – 64 ← factor out 4 from each term

    = 4(9b^{4} – 16) ← factor as a difference of squares

    a² – b² = (a + b)(a – b), thus

    9b^{4} – 16

    = (3b²)² – 4²

    = (3b² + 4)(3b² – 4)

    Hence

    36b^{4} – 64

    = 4(3b² + 4)(3b² – 4) ← in factored form

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45:7+7-4:2-5:5*4+35:2 =? ( )