Question

( 3x + 2y)^2 - (x + y)^2​

Answer 1

Ответ:

Объяснение:

( 3x + 2y)² - (x + y)²= 9x²+12xy+4y²-(x²+2xy+y²)=

=9x²+12xy+4y²-x²-2xy-y²=8x²+10xy+3y²

Answer 2

To simplify the expression $(3x + 2y)^2 - (x + y)^2$, you can use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$. In this case, let $a = 3x + 2y$ and $b = x + y$. Then, you can rewrite the expression as follows:

$(3x + 2y)^2 - (x + y)^2 = [(3x + 2y) + (x + y)][(3x + 2y) - (x + y)]$

Now, you can simplify each part separately:

1. Simplify the first part, $(3x + 2y) + (x + y)$:

$(3x + 2y) + (x + y) = 4x + 3y$

2. Simplify the second part, $(3x + 2y) - (x + y)$:

$(3x + 2y) - (x + y) = 2x + y$

Now, combine both simplified parts:

$(4x + 3y)(2x + y)$

So, the simplified expression is $4x^2 + 11xy + 3y^2$.