(2a + 3b)2 – 16c2 please correct answer​

Question

(2a + 3b)2 – 16c2
please correct answer​

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Faith 1 month 2021-08-21T21:46:03+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-21T21:47:05+00:00

    Answer:

    (2a+3b+4c)(2a+3b-4c)

    Step-by-step explanation:

    (2a+3b)^2-16c^2 = (2a+3b)^2-(4c)^2

    = (2a+3b+4c)(2a+3b-4c)

    0
    2021-08-21T21:47:49+00:00

    Answer:

     \large{ \bold{(2a + 3b + 4c)(2a + 3b  -  4c)}}

    Step-by-step explanation:

     {(2a + 3b)}^{2}  - 16 {c}^{2}  \\  \\  = {(2a + 3b)}^{2}  -  {(4c)}^{2} \\  \\  = 4 {a}^{2}  + 9 {b}^{2}  + 12ab - 16 {c}^{2}  \\  \\  = 4 {a}^{2}  + 6ab + 8ac + 6ab + 9 {b}^{2}  + 12bc - 8ac - 12bc - 16 {c}^{2}  \\  \\  =2a (2a + 3b + 4c) + 3b(2a + 3b + 4c) - 4c(2a + 3b + 4c) \\  \\  = (2a + 3b + 4c)(2a + 3b  -  4c) \\  \\  \\  \\ also \\  \\ formulae \\  \\  {x}^{2}  -  {y}^{2}  = (x + y)(x - y)

    HOPE IT HELPS

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