Factorize completely 80p2 – 180r2​

Question

Factorize completely
80p2 – 180r2​

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MichaelMet 6 months 2021-08-31T10:13:42+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-08-31T10:14:53+00:00

    Answer:

    80p2 – 180r2

    20(4p²-9r²)

    20(2p+3r)(2p-3r)

    0
    2021-08-31T10:14:59+00:00

    Answer:

    20(2p – 3r)(2p + 3r)

    Step-by-step explanation:

    Given

    80p² – 180r² ← factor out 20 from each term

    = 20(4p² – 9r²) ← difference of squares which factors in general as

    a² – b² = (a – b)(a + b)

    4p² – 9r²

    = (2p)² – (3r)² ← with a = 2p and b = 3r

    = (2p – 3r)(2p + 3r)

    Thus

    80p² – 180r² = 20(2p – 3r)(2p + 3r) ← in factored form

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