Question

(2m^3-7m^2+4m)(3-8m+m^2) упроститт выражение

Answer 1

Бери подробное решение

Answer 2

To simplify the expression (2m^3 - 7m^2 + 4m)(3 - 8m + m^2), we need to perform the multiplication and combine like terms. Here's how you can do it step-by-step:

Step 1: Distribute the terms in the first expression (2m^3 - 7m^2 + 4m) to the terms in the second expression (3 - 8m + m^2):

(2m^3 - 7m^2 + 4m)(3 - 8m + m^2)
= 2m^3 * 3 - 2m^3 * 8m + 2m^3 * m^2 - 7m^2 * 3 + 7m^2 * 8m - 7m^2 * m^2 + 4m * 3 - 4m * 8m + 4m * m^2

Step 2: Simplify each term:

6m^3 - 16m^4 + 2m^5 - 21m^2 + 56m^3 - 7m^4 + 12m - 32m^2 + 4m^3

Step 3: Combine like terms:

Group the terms with the same power of m together: (2m^5) + (-16m^4) + (6m^3 + 4m^3 + 56m^3) + (-32m^2 - 21m^2) + (12m)

Combine the coefficients of each group: 2m^5 - 16m^4 + 66m^3 - 53m^2 + 12m

So, the simplified expression is 2m^5 - 16m^4 + 66m^3 - 53m^2 + 12m.