Question

16. Factorize the following expression,
(a) 3a4 – 48b4
(b) x12y4 – x4y12​

Answer 1

Answer:

$a)3 {a}^{4} - 48 {b}^{4}$

$3( {a}^{4} - 16{b}^{4} )$

$3( {a}^{2} + 4 {b}^{2} )( {a}^{2} - {4b}^{2} )$

$b) {x}^{12} {y}^{4} - {x}^{4}{y}^{12}$

${x}^{4} {y}^{4} ( {x}^{8} - {y}^{8} )$

${x}^{4} {y}^{4} ( {x}^{4} + {y}^{4} )( {x}^{4} - {y}^{4} )$