Question

Simplify
(
4
x
−
3
y
2
3
x
)
−
2
⋅
2
y
2
.
Select one answer
A
9
x
8
16
y
4

B
3
x
8
2
y
2

C
9
x
8
8
y
2

D
9
8
x
4
y
2

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Answer 1

I can’t reliably read the expression as written. Could you retype it using parentheses, / for fractions, and ^ for exponents? For example:

- (4x - (3y^2)/(3x)) - 2*(2y^2)
or
- (4x - 3y^2)/(3x) - 2*(2y^2)

Either of those are common interpretations; I’ll simplify both now so you can see which matches your problem.

1) If the expression is (4x - (3y^2)/(3x)) - 2*(2y^2):
- 3y^2/(3x) = y^2/x, and 2*(2y^2) = 4y^2.
- Result = 4x - y^2/x - 4y^2.
- Writing over common denominator x: (4x^2 - y^2 - 4x y^2)/x = (4x^2 - y^2(1+4x))/x.

2) If the expression is (4x - 3y^2)/(3x) - 2*(2y^2):
- 2*(2y^2) = 4y^2.
- Put over common denominator 3x: (4x - 3y^2 - 12x y^2)/(3x).
- So result = (4x - 3y^2 - 12xy^2)/(3x).

Send the exact expression (or confirm which of the two above it is) and I’ll match it to the multiple-choice answers.