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ahrayia [7]
2 years ago
15

Needs solved now please!

Mathematics
2 answers:
vova2212 [387]2 years ago
8 0

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

Given expression,

(negative 2 m + 5 n) squared

\implies (-2m+5n)^2

By using (a+b)² = a² + 2ab + b²,

(-2m)^2 + 2\times -2m\times 5n + (5n)^2

4m^2 - 20mn + 25n^2

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus, 4m^2 - 20mn + 25n^2 is a perfect square trinomial.

kati45 [8]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given

(2m + 5n)² = (2m + 5n)(2m + 5n)

Each term in the second factor is multiplied by each term in the first factor, that is

2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis

= 4m² + 10mn + 10mn + 25n² ← collect like terms

= 4m² + 20mn + 25n² ← perfect square trinomial

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