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20 February, 09:17

Which expression represents a difference of squares?

A. 81 - 49y^2

B. 4x^2 - 16x

C. t^2 + 100

D. 25k - 64

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  1. 20 February, 12:20
    0
    A. 81 - 49y²

    Step-by-step explanation:

    The triangle that represent a difference of squares is A.

    It is easily recognize by looking at the numbers, the number gives a perfect square and the variable y is also squared

    That is 9² = 81 and 7² = 49 and

    Also the sign in-between them must me a negative sign, when the expression consist of the above, then it gives a different of square.

    81 - 49y²

    9² - 7²y²

    (9 - 7y) (9 + 7y)

    Lets open back the parenthesis to check our answer

    (9 - 7y) (9 + 7y)

    9 (9+7y) - 7y (9+7y)

    81 + 63y - 63y - 49y²

    81 - 49y²
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