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55³ + 17³ - 72³ + 201960 is equal to = ?

1-1
20
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417

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let a = 55, \\ b = 17, \\ c = - 72 \\ a + b + c \\ = 55 + 17 - 72 \\ = 0 \\ ∴ a^{3} + b^{3} - c^{3} - 3 a b c = 0 \\ (a + b + c) = 0 \\ Answer is 0. \end{aligned}

$\eqalign{ & {\text{Let }}a = 55, \cr & \,\,\,\,\,\,\,\,\,\,\,b = 17, \cr & \,\,\,\,\,\,\,\,\,\,\,c = - 72 \cr & a + b + c \cr & = 55 + 17 - 72 \cr & = 0 \cr & \therefore {a^3} + {b^3} - {c^3} - 3abc = 0 \cr & \left( {a + b + c} \right) = 0 \cr & {\text{Answer is }}0. \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let a = 55, \\ b = 17, \\ c = - 72 \\ a + b + c \\ = 55 + 17 - 72 \\ = 0 \\ ∴ a^{3} + b^{3} - c^{3} - 3 a b c = 0 \\ (a + b + c) = 0 \\ Answer is 0. \end{aligned}

$\eqalign{ & {\text{Let }}a = 55, \cr & \,\,\,\,\,\,\,\,\,\,\,b = 17, \cr & \,\,\,\,\,\,\,\,\,\,\,c = - 72 \cr & a + b + c \cr & = 55 + 17 - 72 \cr & = 0 \cr & \therefore {a^3} + {b^3} - {c^3} - 3abc = 0 \cr & \left( {a + b + c} \right) = 0 \cr & {\text{Answer is }}0. \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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