Question

what is (a+b)2-(a-b)2​

Answer 1

Answer:

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

plz mark brainliest tyvm!!!

Answer 2

Answer:

Hey mate,

here's your answer,

$(a + b + a - b)(a + b - a + b)$

$(2a)(2b)$

$4ab$

plz mark as brainliest