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cos^4 - sin^4 factorised as (cos^2 - sin^2)(cos^2 + sin^2)

This type of question, asked 2 times: CDS 1 2017, CDS 1 2018. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    65
    What is cos⁡4A−sin⁡4Acos⁡2A−sin⁡2A\frac{\cos^4 A - \sin^4 A}{\cos^2 A - \sin^2 A} equal to ?

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  2. Question 2

    CDS 1 2018

    54
    What is sin⁡4θ−cos⁡4θ\sin^4 \theta - \cos^4 \theta equal to for any real number θ\theta?

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