Answer:
what??????????
Step-by-step explanation:
A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.
Given information-
The expression for the given problem is,
![(-4x+9)^2](https://tex.z-dn.net/?f=%28-4x%2B9%29%5E2)
<h3>Perfect square trinomial</h3>
A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.
The perfect square trinomial can be given as,
![ax^2+bx+c](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc)
The given expression can be solved as,
![(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81](https://tex.z-dn.net/?f=%28-4x%2B9%29%5E2%3D%28-4x%2B9%29%5Ctimes%28-4x%2B9%29%5C%5C%28-4x%2B9%29%5E2%3D-4x%28-4x%2B9%29%2B9%28-4x%2B9%29%5C%5C%28-4x%2B9%29%5E2%3D16x%5E2-36x-36x%2B81%5C%5C%28-4x%2B9%29%5E2%3D16x%5E2-72x%2B81)
Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.
Learn more about the perfect square trinomial here;
brainly.com/question/88561
![\frac{8}{15} * \frac{6}{5} * \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B15%7D%20%2A%20%5Cfrac%7B6%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20)
First, I would multiply the last two fractions because they're smaller and easier to work with:
![\frac{8}{15} * \frac{6}{5} * \frac{1}{3} = \frac{8}{15} * \frac{6}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B15%7D%20%2A%20%5Cfrac%7B6%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B8%7D%7B15%7D%20%2A%20%5Cfrac%7B6%7D%7B15%7D)
Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:
![\frac{8}{15} * \frac{6}{15} = \frac{8}{5} * \frac{2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B15%7D%20%2A%20%5Cfrac%7B6%7D%7B15%7D%20%3D%20%5Cfrac%7B8%7D%7B5%7D%20%2A%20%5Cfrac%7B2%7D%7B15%7D)
We can now multiply these terms:
![\frac{8}{5} * \frac{2}{15} = \frac{16}{75}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%20%2A%20%5Cfrac%7B2%7D%7B15%7D%20%3D%20%20%5Cfrac%7B16%7D%7B75%7D%20)
The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
B in the answer <span>not correctly written in scientific notation</span>