factorise:
3m²-m-2. 9m²-4
_______. ÷. ______
m²-7m+12. (m-3)²
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first we factorise 3m^2-m-2
________
m^2-7m+12
3m^2-3m+2m -2
=> _____________
m^2 - 4m-3m +12
3m(m-1) + 2(m- 1)
=> _____________
m(m- 4) - 3(m- 4)
( 3m+2) (m -1)
=> __________
(m- 3) (m-4 )
(3m+2 ) (m -1)
__________
(m -3) (m- 4)
=> ____________
(3m+2 ) (3m-2 )
___________
( m-3)^2
(m -1) (m -3)
=>. ---------------
( m-4) (3m-2)
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