Question

factorise 2ab^2-aby+2cby -cy^2

Answer 1

2ab^2-aby+2cby-cy^2
=ab(2b-y)+cy(2b-y)
=(ab+cy)(2b-y)

Answer 2

$\\ \sf { \underline{{ \underline \bold { \pink {Factorise} }}}:-}$

$\\ \\ \bullet \: \: \: \: \: \: \bf 2ab {}^{2} - aby + 2cby - cy {}^{2}$

$\sf { \underline{{ \underline \bold { \red { \: Required \: Solution} }}}:-}$

$\\ \bf : \leadsto 2ab {}^{2} - aby + 2cby - cy {}^{2} \\ \\ \sf Now, Taking \: common \\ \bf \\ \bf : \leadsto ab(2b - y) + cy(2b - y) \: \: \\ \\ \bf : \leadsto (2b-y)(ab + cy) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$