Question

Simplify each given expression:
Select Option A or Option B.

Option A
Option B
(
3
x
2
y
)
3
(
3
y
z
)
2

3
2
x
6
y
5
z
2
3
5
x
6
y
5
z
2
(
4
3
x
z
2
4
x
3
y
)
−
3
x
9
z
6
16
y
3
x
6
y
3
4
6
z
6
(
2
x
+
4
z
)
3
2
x
+
4
z
3
2
3
x
+
12
z
3
−
(
4
a
b
2
c
−
3
)
3
−
4
2
b
6
c
5
4
a
3
c
14
−
4
a
3
b
12
16
c
8
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Answer 1

I can help, but the expression text is garbled so I can't be sure which Option (A or B) corresponds to which simplified form. Could you re-send each expression using clearer formatting? Useful formats:

- Use ^ for exponents, e.g. (3 x^2 y)^3 (3 y z)^2
- Put each separate problem on its own line
- If there are two choices, show them like: Option A: ... Option B: ...

I can start with the first part that is readable:

(3 x^2 y)^3 (3 y z)^2

Simplify:
(3 x^2 y)^3 = 3^3 x^{6} y^{3} = 27 x^6 y^3
(3 y z)^2 = 3^2 y^2 z^2 = 9 y^2 z^2
Product = 27·9 x^6 y^{3+2} z^2 = 243 x^6 y^5 z^2 = 3^5 x^6 y^5 z^2

So choose the option that equals 243 x^6 y^5 z^2 (or 3^5 x^6 y^5 z^2).

Send the rest formatted as above and I’ll simplify each and tell you which option is correct.