Sat math question: if a ^2+b^2=258, what is the value of (a+b)^2+(a-b)^2? ?
explain how you arrived at your answer. you!

516

Step-by-step explanation:

Let's start with the value first to see if we can use to help find it's value:

I'm going to use the formula to expand both:

Combining like terms:

Factoring the 2 out:

Plug in 258 for the :

Perform the multiplication:

-----------------------------------------------

Another way:

Find values for and that satisfy:

The easiest solution you might see is .  This works because the square of is 258.

So now you just plug:

with being and being 0 into your calculator or if you are good at simplifying things without you can do that with this problem:

This would have worked for any pair satisfying .

I wanted to show this last strategy just in case you haven't been exposed to expanding squared binomials with foil or the formula I mentioned earlier.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

4x and 6y

im not sure though