plz answr frndz..plz answer frndz don't ignore it plz ....
Attachments:
Answers
Answered by
1
Given,
p = a^2 b^3
q = a^3 b
Prime factors of p = a * a * b * b * b
Prime factors of q = a * a * a * b
H.C.F = a * a * b = a^2 * b { Since a and b are prime numbers , so they won't have any common factor. }
L.C.M = a * a * b * a * b * b = a^3 * b^3.
Now,
H.C.F x L.C.M = a^2 * b * a^3 * b^3 = a^5 * b^4. --- eq.1
Product of numbers = a^2 * b^3 * a^3 * b = a^5 * b^4--- eq,2
From ( 1 ) and ( 2 ) , we get,
H.C.F x L.C.M = Product of numbers.
Verified.
p = a^2 b^3
q = a^3 b
Prime factors of p = a * a * b * b * b
Prime factors of q = a * a * a * b
H.C.F = a * a * b = a^2 * b { Since a and b are prime numbers , so they won't have any common factor. }
L.C.M = a * a * b * a * b * b = a^3 * b^3.
Now,
H.C.F x L.C.M = a^2 * b * a^3 * b^3 = a^5 * b^4. --- eq.1
Product of numbers = a^2 * b^3 * a^3 * b = a^5 * b^4--- eq,2
From ( 1 ) and ( 2 ) , we get,
H.C.F x L.C.M = Product of numbers.
Verified.
zohrafatima:
thanku soo much
Similar questions