Answer:
See below!
Explanation:
Given that,
A rope is cut into three pieces.
Given length of each piece.
- 2ab(a - b)
- 3a²(a + 2b)
- b²(2a - b)
Part 1:
To find the total length of rope, we simply have to add all the lengths of the pieces.
= 2ab(a - b) + 3a²(a + 2b) + b²(2a - b)
= 2a²b - 2ab² + 3a³ + 6a²b + 2ab² - b³
= 3a³ + 2a²b + 6a²b - 2ab² + 2ab² - b³
= 3a³ + 8a²b - b³
Part 2:
Put a = 2 in., b = 3 in.
= 3(2)³ + 8(2)²(3) - (3)³
= 3(8) + 8(4)(3) - 27
= 24 + 96 - 27
= 93 inches
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