Question

what should be added to a²+b²+2ab to obtain 4ab+a²​

Answer 1

Answer:

2ab-a²

Step-by-step explanation:

Here,

Suppose that the answer should be x.

Then according to Question if x is added to a²+b²+2ab then it will give 4ab+b².

Now we have to express the above line in the form of equation.

(a ^ 2 + b ^ 2 + 2ab) + x = 4ab + b ^ 2

x = 4ab + b ^ 2 - a ^ 2 - b ^ 2 - 2ab

x = 2ab - a ^ 2

Hence proved..