Question

((9x-8y)^2-(9x+8y)^2):12xy Подробно и с решением,спасибо!

Answer 1

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Answer 2

Solving the Equation

To solve the given equation ((9x-8y)^2-(9x+8y)^2)/12xy, we can follow these steps:

1. Expand the Expressions: Expand the given expressions (9x-8y)^2 and (9x+8y)^2. 2. Substitute into the Equation: Substitute the expanded expressions into the given equation. 3. Simplify: Simplify the equation and solve for the value of the expression.

Let's proceed with these steps.

Expanding the Expressions

The given expressions are: - (9x-8y)^2 - (9x+8y)^2

Expanding these expressions gives us: - (9x-8y)^2 = 81x^2 - 144xy + 64y^2 - (9x+8y)^2 = 81x^2 + 144xy + 64y^2

Substitute into the Equation

Substituting the expanded expressions into the given equation ((9x-8y)^2-(9x+8y)^2)/12xy gives us: - ((81x^2 - 144xy + 64y^2) - (81x^2 + 144xy + 64y^2))/12xy

Simplify and Solve

Simplifying the equation gives us: - ((-144xy) - (144xy))/12xy - (-288xy)/12xy - -24

Therefore, the value of the expression ((9x-8y)^2-(9x+8y)^2)/12xy is -24.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.