Question

a
^ – b
^2 – (a + b)^2​

Answer 1

I know the answer is = 4ab, but if I could explain it…

Use the perfect square formula for each of the two expressions (a + b )² = a² + 2ab + b²

So, (a+b)² becomes a² + 2ab + b²

And, (a-b)² becomes a² - 2ab + b²

Since we are simplifying we use the distributive property method. So distribute the parentheses () in one of the expressions.

Don’t forget we are subtracting -,

thus we have the expression, a² + 2ab + b² - (a² - 2ab + b²)

Distribute the - sign in the parentheses ().

Group like terms - a² +a² + 2ab + 2ab -b²+b²

Cancel out -a²+a² and -b²+b²

Therefore∴ , 2ab + 2ab = 4ab

Answer 2

Answer:

Your right answer:- -2ab

Step-by-step explanation:

a^2 - b^2 - (a+b)^2

Sol:- a^2 - b^2 - (a^2 + b^2 +2ab)

= a^2 - b^2 - a^2 - b^2 -2ab

= -2ab ans.

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