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can someone tell me step by step how to solve this?
[tex](\frac{1}{3}-\frac{1}{10})^{2} -\frac{1}{5}:(\frac{2}{5} )^{2}[/tex]

Respuesta :

Answer:

Step-by-step explanation:

I take it that this is some sort of ratio.  Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

Brackets: 10/30 - 3/30

Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900  - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

[tex]\frac{\frac{-131}{900} }{\frac{4}{25} }[/tex]

Which when you invert and multiply becomes

[tex]\frac{-131}{900} * \frac{25}{4}[/tex]

which finally becomes

[tex]\frac{-131}{144}[/tex]