Question

Is 16x^2-36x+25^2 a perfect Square trinomial

Answer 1

No, middle term should be 40x.

Explanation:

`16 {x}^(2) - 2 * 4x * 5 + {25}^(2) \\ = {(4x)}^(2) - 40x + {5}^(2) \\ = (4x - 5)^(2) \\`

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.