Question

(A+b)²+ ( a-b)²=??

Solve it...

Answer 1

Answer:

2 (a+b)²

Step-by-step explanation:

I will just assume all of the variables are in small-cases.

(a+b)² + (a-b)²

Using the factorisation methods, let's look at (a+b)² first

Put a square on "a" because it's a square to the whole bracket.

Same goes for "b".

But as the rule, multiply "a" and "b", then again multiply the product with 2.

You will get :

(a²+b²+2ab)

Rearranging it,

(a²+2ab+b²)

Same goes for (a-b)²

(a²-2ab+b²)

Note the negative sign in "b".

Getting this, let's combine our answer.

(a²+2ab+b²)+(a²-2ab+b²)

Remove the brackets

a²+2ab+b²+a²-2ab+b²

Now, just do the simple addition and subtraction for those with the same variable.

We'll get

2a²+2b²

: 2ab and (-2ab) got cancelled out.

So, the answer is

2a²+2b²

In case your answer needs to be simplified,

2 (a²+b²)

= 2 (a+b)²

I hope this is right....

I am not a math whizz though. :D