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Ulleksa [173]
3 years ago
12

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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