Math, asked by jitendersingh5pea4xi, 1 year ago

8a^3+125b^3-64c^3+120abc Factorise

Answers

Answered by ShuchiRecites
31
\textbf{ \underline{ Hello Mate! }}

8 {a}^{3} + 125 {b}^{3} - 64 {c}^{3} + 120 \\ \\ {(2a)}^{3} + {(5b)}^{3} + {( - 4c)}^{3} - 3(2a)(5b) ( - 4c) \\ \\ {x}^{3} + {y}^{3} + {z}^{3} - 3xyz \\ = (x + y + z)( {x}^{2} + {y}^{2} + {z}^{2} - xy - yz - xz) \\ \\ = (2a + 5b - 4c)(4 {a}^{2} + 25 {b}^{2} + 16 {c}^{2} - 10ab + 20bc + 8ac)

\textbf{ Have great future ahead! }
Answered by patelyamina1234
0

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