2 answers:
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
By using (a+b)² = a² + 2ab + b²,
∵ A trinomial which is the square of a binomial is called a perfect square trinomial.
Thus, is a perfect square trinomial.
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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Step-by-step explanation: