Factorise
2l³ + 432m²
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अवयव पाडा: 2l³ + 432m³
\begin{gathered}2 {i}^{3} + 432 {m}^{3} \\ \\ 2( {i}^{3} + 216 {m}^{3} ) \\ \\ = 2[ {i}^{3} + {(6m)}^{3} ] \\\end{gathered}
2i
3
+432m
3
2(i
3
+216m
3
)
=2[i
3
+(6m)
3
]
अवयव
\begin{gathered}{x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} ) \\ \\ x = i \\ \\ y = 6m \\ \\ {i}^{3} + {(6m)}^{3} = (i + 6m)( {i}^{2} - (i)(6m) + {(6m)}^{2} ) \\ \\ = (i + 6m)( {i}^{2} - 6mi + 36 {m}^{2} ) \\ \\\end{gathered}
x
3
+y
3
=(x+y)(x
2
−xy+y
2
)
x=i
y=6m
i
3
+(6m)
3
=(i+6m)(i
2
−(i)(6m)+(6m)
2
)
=(i+6m)(i
2
−6mi+36m
2
)
\begin{gathered}2 {i}^{3} + 432 {m}^{3} = (i + 6m)( {i}^{2} - 6mi + 36 {m}^{2} ) \\ \\\end{gathered}
2i
3
+432m
3
=(i+6m)(i
2
−6mi+36m
2
)
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