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17 November, 11:38

Which is equivalent to (-2m + 5n) ², and what type of special product is it?

A. 4m² + 25n²; a perfect square trinomial

B. 4m² + 25n²; the difference of squares

C. 4m² - 20mn + 25n²; a perfect square trinomial

D. 4m² - 20mn + 25n²; the difference of squares

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  1. 17 November, 13:25
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    (-2m + 5n) ²

    (-2m + 5n) (-2m + 5n)

    -2m (-2m + 5n) + 5n (-2m + 5n)

    4m² - 10mn - 10mn + 25n²

    4m² - 20mn + 25n²

    4m²⇒ - 2m * - 2m

    -20mn ⇒ 2 (-2m) (5n)

    25n² ⇒ 5n * 5n

    C. 4m² - 20mn + 25n²; a perfect square trinomial
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