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A rope is cut into three pleces. The lengths are given as 2ab(a - b), 3^2(a + 2b), and b^2 (2a - b).

The expression representing the total length of the rope is_____?
If a = 2 inches and b = 3 inches, the total length of the rope is ____?
inches.

A rope is cut into three pleces. The lengths are given as 2ab(a - b), 3^2(a + 2b), and-example-1
User Jimmy Lu
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2 Answers

3 votes

Its very confusing so sry

User Palpatim
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2 votes

Answer:

Explanation:

Hello, please consider the following.


2ab(a-b)+3a^2(a+2b)+b^2(2a-b)\\\\=2a^2b-2ab^2+3a^3+6a^2b+2ab^2-b^3\\\\=\boxed{3a^3-b^3+8a^2b}

For a = 2, b = 3 the total is


3\cdot 2^3-3^3+8\cdot 2^2 \cdot 3\\\\=3*8-27+96\\\\=24-27+96\\\\=\boxed{93}

Thank you

User Nick Pearce
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