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2 January, 11:05

Expand.

If necessary, combine like terms.

(4x + 1) (4x + 1) =

+4
Answers (2)
  1. 2 January, 11:07
    0
    (4x + 1) (4x + 1)

    4x · 4x = 16x²

    4x · 1 = 4x

    1 · 4x = 4x

    1 · 1 = 1

    16x² + 4x + 4x + 1

    16x² + 8x + 1
  2. 2 January, 11:16
    0
    Answer: 16x² + 8x + 1

    Step-by-step explanation:

    (4x + 1) (4x + 1)

    This expansion can be done in two ways either by direct expansion or by indirect expansion

    (1) Direct expansion

    (4x + 1) (4x + 1)

    4x X 4x + 4x X 1 + 1 X 4x + 1 X 1

    = 16x² + 4x + 4x + 1

    = 16x² + 8x + 1

    (2) Method

    This can be written thus:

    (4x + 1) (4x + 1) = (4x + 1) ²

    = (4x) ² + 2 (4x X 1) + 1²

    = 16x² + 2 (4x) + 1

    = 16x² + 8x + 1.
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