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

Mathematics

1 answer:

yulyashka [42]3 years ago

6 0

Answer:

No, middle term should be 40x.

Step-by-step explanation:

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

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

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