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

A4m² + 25n²; a perfect square trinomial
B4m² + 25n²; the difference of squares
C4m² − 20mn + 25n²; a perfect square trinomial
D4m² − 20mn + 25n²; the difference of squares

Verified Answer :

meerkat18

(-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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