Simplify(8.3)3+(9.2)3+(6.1)3−3×8.3×9.2×6.1/(8.3)2+(9.2)2+(6.1)2−8.3×9.2−9.2×6.1×8.3

Simplify
$\dfrac{(8.3)^3+(9.2)^3+(6.1)^3-3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2+(9.2)^2+(6.1)^2-8.3 \times 9.2 - 9.2 \times 6.1 \times 8.3}$

Options
a) 25.5
b) 28.7
c) 23.6
d) 30.2

Solution

As per question
$\dfrac{(8.3)^3+(9.2)^3+(6.1)^3-3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2+(9.2)^2+(6.1)^2-8.3 \times 9.2 - 9.2 \times 6.1 \times 8.3}$
Let the
a = 8.3
b = 9.2
c = 6.1
$\frac{a^3+b^3+c^3-3abc}{a^2+b^2+c^2-ab-bc-ca}$
a³+b³+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ca)
$\frac{(a+b+c)(a^2+b^2+c^2-ab-bc-ca)}{(a^2+b^2+c^2-ab-bc-ca)}$ = (a+b+c)
Put value in (a+b+c)
8.3+9.2+6.1 = 23.6

Answer: c) 23.6

Simplify

Solution

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Simplify
$\dfrac{(8.3)^3+(9.2)^3+(6.1)^3-3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2+(9.2)^2+(6.1)^2-8.3 \times 9.2 - 9.2 \times 6.1 \times 8.3}$