Question

1. 27х в 3 степени - 8у в 3 степени = 2. 4а в 2 степени - 9в в 2 степени = 3. (4х - 5у) (16х в 2 степени + 20уху + 25у в 2 степени) =

Answer 1

1)19xy в 3 степени
2)-5ав во 2ой степени
3)(4х-5у)(16х во 2+20нхн+25у во 2)= -1ху*(16х во 2+ 20 ху во 2+ 25у во 2)= -1*41х во 2+20ху во 2= -1*61х во 2ой у во второй=-61х во 2 у во 2

Answer 2

1. To solve the expression 27x³ - 8y³:

This is a difference of cubes, which can be factored as follows: a³ - b³ = (a - b)(a² + ab + b²)

Applying this formula, we have: 27x³ - 8y³ = (3x - 2y)(9x² + 6xy + 4y²)

2. To solve the expression 4a² - 9b²:

This is a difference of squares, which can be factored as follows: a² - b² = (a - b)(a + b)

Applying this formula, we have: 4a² - 9b² = (2a - 3b)(2a + 3b)

3. To simplify the expression (4x - 5y)(16x² + 20xy + 25y²):

We can use the distributive property to expand this expression: (4x - 5y)(16x² + 20xy + 25y²) = 4x(16x² + 20xy + 25y²) - 5y(16x² + 20xy + 25y²)

Now, we can distribute the terms: = (64x³ + 80x²y + 100xy²) - (80x²y + 100xy³ + 125y³)

Combining like terms, we get: = 64x³ + 100xy² - 100xy³ - 125y³