Question

MEDAL WILL BE GIVEN

Simplify

3/2 + 2/a^2 - 2/a^3

explain / show work

Answer 1

is there a right hand side to the equation?

Answer 2

No, that is the full equation

Answer 3

Let's write it in the equation editor:\[\frac{ 3 }{ 2 }+\frac{ 2 }{ a^2 }-\frac{ 2 }{ a^3 }\]YOu want to write this as one fraction. So you have to choose a new denominator, of which 2, a² and a³ are factors.

Answer 4

Do you know what number to take for the new denominator?

Answer 5

a^3 as the denominator

Answer 6

What about the number 2?

Answer 7

YOu also have to take that into account, so it is 2a³

Answer 8

2 is the variable, so ya

Answer 9

Now this is what you have:\[\frac{ 3 \cdot ... }{ 2a^3 }+\frac{ 2 \cdot ... }{ 2a^3 }-\frac{ 2 \cdot ... }{ 2a^3 }\]You have to find what goes in place of the dots.

Answer 10

\[\frac{ 3a^3 }{ 2a^3 } + \frac{ 2a }{ 2a^3 } - \frac{ 2 }{ 2a^3 }\]

Answer 11

I agree with the first one.
Second one: there already was a factor 2 in the numerator. The denominator has been multiplied with 2a, so you have to multiply the numerator also with 2a, which makes it 4a.

Third one: same thing...