Find the value of 28 a 3 b 3 c 3 - 52a b 2 c 3

The correct option is D 7 a ^ 2 b / 13 28 a ^ 3 b ^ 3 c ^ 3 ÷ 52a b ^ 2 c ^ 3 = 4 × 7 × a ^ 3 b ^ 3 c ^ 3 / 4 × 13 × a b ^ 2 c ^ 3 #160; ...

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Dividing a Monomial by a Monomial

Find the valu...

Question

Find the value of $28 a^{3} b^{3} c^{3} \div 52 a b^{2} c^{3}$

\frac{7 a^{2} b}{13}

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2 a^{2} b

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\frac{13 a^{2} b}{7}

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\frac{7 a b}{13}

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Solution

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{(a + b + c)}^{3} - a^{3} - b^{3} - c^{3} = 3 (a + b) (b + c) (c + a)

{(a + b + c)}^{3} - a^{3} - b^{3} - c^{3} = [{(a + b + c)}^{3} - a^{3}] - [b^{3} + c^{3}]

1^{3} + b^{3} + 8 c^{3} - 6 b c

a^{3} + b^{3} + c^{3} - 3 a b c = \frac{1}{2} (a + b + c) [{(a - b)}^{2} + {(b - c)}^{2} + {(c - a)}^{2}]

\frac{a^{3}}{b^{3}} + \frac{b^{3}}{c^{3}} + \frac{c^{3}}{a^{3}} - 3

a^{3} + b^{3} + c^{3}

If a+b+c=0

Then find the value of a³+b³+c³

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