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1 July, 08:36

Simplify (x+2y) (x-2y)

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Answers (2)
  1. 1 July, 09:02
    0
    x² - 4y²

    Step-by-step explanation:

    Step 1

    On expansion,

    (x + 2y) (x - 2y) = x (x - 2y) + 2y (x - 2y)

    = x (x) - x (2y) + 2y (x) + 2y (-2y)

    = x² - 2xy + 2xy - 4y²

    = x² - 4y²

    Each of the terms are perfect squares

    x² = x X x

    4y² = (2y) ² = 2y X 2y

    Hence, x² - 4y² is the difference of two squares.

    Simplification of (x+2y) (x-2y) gives x²-4y² which is the difference of two squares
  2. 1 July, 09:05
    0
    X^2-4y^2 would be your answer
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