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7 December, 17:37

Which shows a difference of squares?

10y^2-4x^2

6y^2-x^2

8x^2-40x+25

64x^2-48x+9

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  1. 7 December, 17:53
    0
    The equations shows a difference of squares are:

    10y² - 4x² $ 6y² - x²

    Step-by-step explanation:

    the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

    We will check the options to find which shows a difference of squares.

    1) 10y² - 4x²

    The expression is similar to the general form, so the equation represents a difference of squares.

    It can be factored as (√10 y + 2x) (√10 y - 2x)

    2) 6y² - x²

    The expression is similar to the general form, so the equation represents a difference of squares.

    It can be factored as (√6y + x) (√6y - x)

    3) 8x²-40x+25

    The expression is not similar to the general form, so the equation does not represent a difference of squares.

    4) 64x²-48x+9

    The expression is not similar to the general form, so the equation does not represent a difference of squares.
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