Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48

Question

Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9

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RI SƠ 2 months 2021-07-21T05:35:43+00:00 1 Answers 0 views 0

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    2021-07-21T05:37:12+00:00

    Answer:

    16 y squared minus x squared

    Step-by-step explanation:

    The other all expressions except 16y²-x² doesn’t complete the square and its difference. Then we can check 16y²-x²,

    Now take the expression 16y²-x² and we can try to solve it.

    We can simplify the terms separately to associate them as perfect squares,

    → 16y² = (4y)² — (1)

    → x² = (1x)² — (2)

    Now we can take the difference of eq. (1) and eq. (2),

    → 16y²-x²

    → (4y)²-(1x)² — (3)

    Now eq. (3) shows a difference of squares.

    Another representation is,

    → (4y – x) (4y + x)

    → 16y²- x²

    → (4y)²- (1x)²

    Therefore, the expression 16y²-x² shows a correct difference of squares.

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