Question

(3x+2y)2-9x2-4y/6xy​

Answer 1

Ответ:

2*(2*y+3*x)-(((((2*x)*y)*y)/3))-18

Объяснение:

Answer 2

To simplify the expression (3x + 2y)^(2) - 9x^(2) - (4y / 6xy), let's break it down step by step:

Step 1: Expand the square of the binomial (3x + 2y)^(2): (3x + 2y)^(2) = (3x + 2y)(3x + 2y) = 9x^(2) + 6xy + 6xy + 4y^(2) = 9x^(2) + 12xy + 4y^(2)

Step 2: Simplify the expression: (9x^(2) + 12xy + 4y^(2)) - 9x^(2) - (4y / 6xy)

First, let's simplify the denominator of the fractional term: 6xy = 2 * 3 * xy = 6xy

Now, we can substitute the expanded expression and simplify further: (9x^(2) + 12xy + 4y^(2)) - 9x^(2) - (4y / 6xy) = 9x^(2) - 9x^(2) + 12xy - (4y / 6xy) + 4y^(2) = 0 + 12xy - (4y / 6xy) + 4y^(2) = 12xy - (2y / 3x) + 4y^(2)

So, the simplified expression is 12xy - (2y / 3x) + 4y^(2).