Question

(2х-у)(4х²+2ху+у²)(8х³+у³)

Answer 1

Решение смотри на фото

Answer 2

It looks like you have provided an algebraic expression involving multiple terms and variables. To simplify this expression, you can use the distributive property to multiply the terms together. Let's break down the expression step by step:

Expression: (2x - y)(4x² + 2xy + y²)(8x³ + y³)

To simplify, you can use the distributive property to multiply each term in the first set of parentheses with each term in the second set of parentheses, and then multiply the result with the third set of parentheses:

1. Multiply the first set with the second set: (2x)(4x²) + (2x)(2xy) + (2x)(y²) - (y)(4x²) - (y)(2xy) - (y)(y²)

   Simplified: 8x³ + 4x²y + 2xy² - 4x²y - 2xy² - y³

2. Multiply the result above with the third set: (8x³ + 4x²y + 2xy² - 4x²y - 2xy² - y³)(8x³ + y³)

   Apply distributive property again: (8x³)(8x³) + (8x³)(y³) + (4x²y)(8x³) + (4x²y)(y³) + (2xy²)(8x³) + (2xy²)(y³) - (4x²y)(8x³) - (4x²y)(y³) - (2xy²)(8x³) - (2xy²)(y³) - (y³)(8x³) - (y³)(y³)

   Simplified: 64x⁶ + 8x³y³ + 32x⁵y + 4x²y⁴ + 16x⁴y² + 2xy⁵ - 32x⁵y - 4x²y⁴ - 16x⁴y² - 2xy⁵ - 8x³y³ - y⁶

Finally, you can combine like terms to simplify the expression further: 64x⁶ - y⁶

So, the simplified expression is: 64x⁶ - y⁶