Question

Преобразуйте в многочлен стандартного вида выражение 8x(3x2-2y)-4x(5y+7x2)

Answer 1

Ответ:

Если в первой скобке 3x2 и 7х2 это 3х² и 7х²

то : 8х(3х² - 2у) -4х(5у + 7х²) = 24х³ - 16ху - 20ху + 28х³ = 52х³ - 40ху

Answer 2

Converting the Expression to Standard Form

To convert the given expression to standard form, we need to simplify and rearrange the terms. Let's break down the expression step by step:

1. Start with the given expression: 8x(3x^2 - 2y) - 4x(5y + 7x^2)

2. Distribute the coefficients to each term within the parentheses: - 8x * 3x^2 = 24x^3 - 8x * (-2y) = -16xy - -4x * 5y = -20xy - -4x * 7x^2 = -28x^3

3. Combine like terms: - 24x^3 - 28x^3 = -4x^3 - -16xy - 20xy = -36xy

4. Simplify the expression: - Final expression: -4x^3 - 36xy

Therefore, the given expression, 8x(3x^2 - 2y) - 4x(5y + 7x^2), can be simplified and written in standard form as -4x^3 - 36xy.

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