Final answer:
To find the perimeter of the triangle, we sum the expressions for the sides. By combining like terms, the perimeter is calculated as 18m^3 + 2m^2 - 1m.
Step-by-step explanation:
The question asks for the perimeter of a triangle with given side lengths. The perimeter of a triangle is the sum of the lengths of its sides. In this case, we have two equal sides given by the expression 5m^3 + 3m^2 - 2m, and one different side given by 8m^3 - 4m^2 + 3m. To find the perimeter (P), we simply add these expressions together:
- For the two equal sides: 2(5m^3 + 3m^2 - 2m)
- For the third side: 8m^3 - 4m^2 + 3m
So, the calculation for the perimeter will be:
P = (5m^3 + 3m^2 - 2m) + (5m^3 + 3m^2 - 2m) + (8m^3 - 4m^2 + 3m)
Simplify the expression by combining like terms:
P = (5m^3 + 5m^3 + 8m^3) + (3m^2 + 3m^2 - 4m^2) - 2m - 2m + 3m
P = (18m^3) + (2m^2) - m
Therefore, the perimeter of the triangle is 18m^3 + 2m^2 - 1m.