Question

Factorise :

$\large \bold{3 {x}^{4} {y}^{3} - 48 {y}^{3} }$
​

Answer 1

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$\longrightarrow \bold{3 {x}^{4} {y}^{3} - 48 {y}^{3} }$

$\longrightarrow \bold{3 {y}^{3}( {x}^{4} - 16) }$

$\longrightarrow \bold{3 {y}^{3} \{( {x}^{2} )^{2} - {4}^{2} \} }$

$\longrightarrow \bold{3 {y}^{3}( {x}^{2} + 4)( {x}^{2} - 4) }$

$\longrightarrow \bold{3 {y}^{3}( {x}^{2} + 4) \{(x)^{2} - {(2)}^{2} \} }$

$\blue{\longrightarrow \boxed{\bold{3 {y}^{3} ( {x}^{2} + 4)(x + 2)(x - 2)}}}$

$\huge{\red{\ddot{\smile}}}$