Question

(3a+b)^2-(3a-b)^2=? Решите пожалуйста по формуле

Answer 1

a²-b²=(a+b)(a-b)

(3a+b)²-(3a-b)²=(3a+b+3a-b)(3a+b-3a+b)=6a*2b=12ab

Answer 2

To simplify the expression $(3a+b)^2-(3a-b)^2$, we can use the formula for the difference of squares. The formula states that $a^2 - b^2 = (a+b)(a-b)$.

Let's apply this formula to the given expression:

$(3a+b)^2 - (3a-b)^2$

Using the formula, we have:

$(3a+b)^2 - (3a-b)^2 = [(3a+b) + (3a-b)][(3a+b) - (3a-b)]$

Now, simplify the expressions inside the brackets:

$[(3a+b) + (3a-b)] = 6a$

$[(3a+b) - (3a-b)] = 2b$

Now the expression becomes:

$6a \cdot 2b$

Finally, multiply the terms:

$6a \cdot 2b = 12ab$

So, the simplified expression is $12ab$.