Factorize: 27(3x-y)^5-6(3x-y)^7
Is the answer: 3(3x-y)^5(9-6x+y)?

PLEASE ANSWER FAST...



Dear Student,


To Factorize : 27(3x-y)5-6(3x-y)7solution : 27(3x-y)5-6(3x-y)7=27(3x-y)5-6(3x-y)5+2=27(3x-y)5-6(3x-y)5(3x-y)2taking (3x-y)5 as common factor=(3x-y)5{27-6(3x-y)2}taking 3 as a common factor=(3x-y)53{9-2(3x-y)2}=3(3x-y)5{9-2(9x2+y2-6xy)}=3(3x-y)5(9-18x2-2y2+12xy)
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