Question

Help me to slove this

Answer 1

Here,

• Option (B) is correct answer.

Now,

• By factorizing the given term $\bf{x - {8xy}^{3} }$, we can verify whether which option is correct one.

So,

$\huge \dag\: \: \: \: \: \rm{x - 8x {y}^{3} } \\ \\ \sf \longmapsto x[1 - {8y}^{3} ] \\ \sf \longmapsto x \big[ {(1)}^{3} - {(2 y)}^{3} \big] \\ \\ \sf \longmapsto x \bigg[ \big(1 - 2y \big) \big[{(1)}^{2} + (1)(2 y) + {(2 y) }^{2} \big] \bigg] \\ \\ \sf \longmapsto x [(1 - 2y )(1 + 2 y + {4y}^{2} )] \\ \sf \longmapsto x(1 + 2y)(1 + 2y + {4y}^{2} )$

Hence,

• We can conclude that Expression of $\bf{x - {8xy}^{3} }$ as product of its factor is $\underline{ \bf{x(1 + 2y)(1 + 2y + {4y}^{2} )}}$