The mean proportional of two numbers is the same as the geometric mean of the the two numbers.

Geometric mean of two numbers x and y = \sqrt{xy}

xy

So mean proportional of a - b and a³ - a²b is

\begin{lgathered}=\sqrt{(a-b)(a^3-a^2b)} \\= \sqrt{(a-b)*a^2(a-b)}\\ = \sqrt{a^2*(a-b)^2} \\=\boxed{a(a-b)}\end{lgathered}

=

(a−b)(a

3

−a

2

b)

=

(a−b)∗a

2

(a−b)

=

a

2

∗(a−b)

2

=

a(a−b)

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Step-by-step explanation:

Math, 16.08.2019 16:09, Firdaus17f

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