Question

Factorise
a) 32x2y2 – 8

Answer 1

Answer:

Step-by-step explanation:

(6xy-2√2)(6xy+2√2)

Answer 2

$\bf \: Factorize : {32x}^{2} {y}^{2} - 8$

$\rm :\implies\:8(4 {x}^{2} {y}^{2} - 1)$

$\rm :\implies\:8 \bigg( {(2xy)}^{2} - {(1)}^{2} \bigg)$

$\rm :\implies\:8(2xy + 1)(2xy - 1)$

$\rm :\implies\: \boxed{ \pink{ \bf \: \because \: {x}^{2} - {y}^{2} \: = \tt \: (x + y)(x - y)}}$

Hence,

$\rm :\implies\: \boxed{ \green{ \bf \: {32x}^{2} {y}^{2} - 8 \: = 8(2xy + 1)(2xy - 1) \tt \: }}$