We need to simplify

First lets factor


=


by applying the radical rule
![\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bab%7D%20%3D%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%5Csqrt%5Bn%5D%7Bb%7D%20)

By applying the radical rule
![\sqrt[n]{x^m} = x^{m/n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3D%20x%5E%7Bm%2Fn%7D)
So

=

=

Now let's factor

By applying the radical rule
![\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bab%7D%20%3D%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%20%5Csqrt%5Bn%5D%7Bb%7D%20)
,

So

=

So

=

We know that
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
so

We now have
We know that
So

We now got

We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:

All in All, we get

=

Hope this helps! :D
In simplified form, the answer would be -16x+51
Answer:
y = 5(x - 3)² + 2
Step-by-step explanation:
y = a(x - h)² + k
y = a(x - 3)² + 2
7 = a(4 - 3)² + 2
a = 5
y = 5(x - 3)² + 2
The answer would be B
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