Question

8(3x+y)^2-12x(6x+4y)

Answer 1

Ответ:

8y²

Объяснение:

8(9x²+6xy+y²)-72x²-48xy= 72x²+48xy+8y²-72x²-48xy= 8y²

Answer 2

Ответ:8y^2

Объяснение:Сначала разложим и раскроем скобки

8(9x^2+6xy+y^2)-72x^2-48xy

Потом выполняем умножение

72x^2+48x+8y^2-72x^2-48xy

Сокращаем числа и получаем ответ 8y^2

Answer 3

To simplify the expression, let's expand and combine like terms:

1. Expand the squared term: $(3x + y)^2 = (3x + y) \times (3x + y)$
2. Distribute and simplify: $(3x + y) \times (3x + y) = 9x^2 + 3xy + 3xy + y^2 = 9x^2 + 6xy + y^2$

Now, substitute the expanded squared term back into the original expression:

$8(3x + y)^2 - 12x(6x + 4y) = 8(9x^2 + 6xy + y^2) - 12x(6x + 4y)$

Next, distribute the 8 and the -12x into the parentheses:

$8(9x^2 + 6xy + y^2) - 12x(6x + 4y) = 72x^2 + 48xy + 8y^2 - 72x^2 - 48xy$

Now, combine like terms:

$72x^2 + 48xy + 8y^2 - 72x^2 - 48xy = (72x^2 - 72x^2) + (48xy - 48xy) + 8y^2 = 0 + 0 + 8y^2 = 8y^2$

So the simplified expression is $8y^2$.