The problem asks to subtract the polynomial $(-9m^3 + 9m + 3.4)$ from the polynomial $(7m^3 + 8m^2 - m + 2.3)$. The result should be simplified.

AlgebraPolynomialsSubtractionSimplificationCombining Like Terms
2025/3/21

1. Problem Description

The problem asks to subtract the polynomial (9m3+9m+3.4)(-9m^3 + 9m + 3.4) from the polynomial (7m3+8m2m+2.3)(7m^3 + 8m^2 - m + 2.3). The result should be simplified.

2. Solution Steps

The expression is (7m3+8m2m+2.3)(9m3+9m+3.4)(7m^3 + 8m^2 - m + 2.3) - (-9m^3 + 9m + 3.4).
First, distribute the negative sign to the second polynomial:
7m3+8m2m+2.3+9m39m3.47m^3 + 8m^2 - m + 2.3 + 9m^3 - 9m - 3.4
Now, combine like terms:
(7m3+9m3)+8m2+(m9m)+(2.33.4)(7m^3 + 9m^3) + 8m^2 + (-m - 9m) + (2.3 - 3.4)
16m3+8m210m1.116m^3 + 8m^2 - 10m - 1.1

3. Final Answer

16m3+8m210m1.116m^3 + 8m^2 - 10m - 1.1

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