Question

the HCF and LCM of two algebraic expression are a(a-1) and a(a-1)(a-2) respectively.if one of the expression is a^3+2a^2-3a, the find out the other expression.

Answer 1

Answer:

Since, H.C.F×L.C.M=one expression× second expression

∴ Required expression =

Known expression

H.C.F.×L.C.M

=

2a

2

−3a−35

(a−5)(2a

3

+3a

2

−44a−105)

=

2a

2

−3a−35

(a−5)(a+3)(2a

2

−3a−35)

=(a−5)(a+3)

=a

2

−2a−15.

Option A is correct.