Question

1. (2m³ - 7m²+4m)(3ym+m²)

Answer 1

Ответ:

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Answer 2

Ответ:

Смотри решение на фото

При умножении показатели степеней складываются

Answer 3

To multiply the two binomials, you can use the distributive property (also known as the FOIL method). Here's how you can do it step by step:

The given binomials are: $(2m³ - 7m² + 4m)$ and $(3ym + m²)$

Let's multiply the terms:

1. Multiply the first term of the first binomial with every term in the second binomial: $2m³ \cdot 3ym = 6m^4y$

2. Multiply the second term of the first binomial with every term in the second binomial: $2m³ \cdot m² = 2m^5$

3. Multiply the third term of the first binomial with every term in the second binomial: $-7m² \cdot 3ym = -21m^2y$

4. Multiply the fourth term of the first binomial with every term in the second binomial: $-7m² \cdot m² = -7m^4$

5. Multiply the fifth term of the first binomial with every term in the second binomial: $4m \cdot 3ym = 12m²y$

6. Multiply the sixth term of the first binomial with every term in the second binomial: $4m \cdot m² = 4m³$

Now, let's add up all these results:

$6m^4y + 2m^5 - 21m^2y - 7m^4 + 12m²y + 4m³$

Combine like terms:

$2m^5 - 7m^4 + 4m³ + (6m^4y - 21m^2y + 12m²y)$

$2m^5 - 7m^4 + 4m³ + 6m^4y - 21m^2y + 12m²y$

So, the result of the multiplication is: $2m^5 + 6m^4y - 7m^4 - 21m^2y + 12m²y + 4m³$