MathyGoo13

Guys im confused. 

From trials and error I found that: \(2^{m+2}\) works for some reason. 

Help me with your knowledge!!

\(\left(x^4+y^4\right)\left(x^2+y^2\right)\left(x+y\right)\left(x-y\right)\)

View Solution Here:

I will start by simplifying some of those terms over there. Let's rerwite it as:

\({1\over5}+{1\over25}+{1\over125} \)

Notice, that this is the same as:

0.2 + 0.04 + 0.008

As you can see, they are all alone, and there will be no carryovers. Therefore it's simply 0.248. 

You may decide to solve the fraction, however you don't have to. 

It's asking for a ratio between the perimeter and area of an equilateral triangle with sides of 4 units. 

So, we need to calculate both perimeter and area. 

Perimeter:

4 * 3 = 12 units 

Area: 

\(a = {\sqrt{3} x^2 \over{4}}\)

\(={4\sqrt3}\)

Notice - it's asking for a ratio for Area to Perimeter. So the answer should have area in numerator, and perimeter in denominator. 

\({4\sqrt3\over12} = {\sqrt3\over3}\)

And that's your answer. 

In my solution I used the area of an equilateral equation. If you've never seen it before, research it. Google has great sources to clarify it for you.