Answer :

factors of 3y2-15y + 18

=3y2-9y-6y + 18


=3y(y-3)-6(y-3)


=(3y-6) (y-3)


=3(y-2) (y-3)


Factors of 2y2 + 2y-24


=2(y2 + y-12)


=2(y2 + 4y-3y-12)


=2(y(y + 4)-3(y + 4))


=2(y-3)(y + 4)


Factors of 4y2 + 36y + 80


=4(y2 + 9y + 20)


=4(y2 + 5y + 4y + 20)


=4{y(y + 5) + 4(y + 5)}


=4(y + 5)(y + 4)


LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.


the LCM of 3y2-15y + 18, 2y2 + 2y-24, 4y2 + 36y + 80 is 12(y-2)(y + 5)(y + 4)(y-3)


GCD is the greatest common divisor, which is equal to the product of all the common divisors.


the GCD is 1 as no other factor is common.


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