Question

(2z³+y²)(4z⁶-2z³y²+y⁴)​

Answer 1

Ответ: 8z9 + y6

Объяснение:

Answer 2

To expand the expression (2z³ + y²)(4z⁶ - 2z³y² + y⁴), you can use the distributive property (FOIL method) and simplify the terms. Here's the step-by-step expansion:

(2z³ + y²)(4z⁶ - 2z³y² + y⁴)

First, multiply each term in the first expression (2z³ + y²) by each term in the second expression (4z⁶ - 2z³y² + y⁴):

1. Multiply the first terms: (2z³) * (4z⁶) = 8z⁹
2. Multiply the first terms: (2z³) * (-2z³y²) = -4z⁶y²
3. Multiply the first terms: (2z³) * (y⁴) = 2z³y⁴
4. Multiply the second terms: (y²) * (4z⁶) = 4z⁶y²
5. Multiply the second terms: (y²) * (-2z³y²) = -2z³y⁴
6. Multiply the second terms: (y²) * (y⁴) = y⁶

Now, combine like terms:

8z⁹ - 4z⁶y² + 2z³y⁴ + 4z⁶y² - 2z³y⁴ + y⁶

Notice that the terms -4z⁶y² and 4z⁶y² cancel each other out, as do the terms 2z³y⁴ and -2z³y⁴:

8z⁹ + y⁶

So, the expanded expression is:

8z⁹ + y⁶