Question

Lcm of a²(a²-4) and a⁴+2a³-8a²

Answer 1

Find the L.C.M of m3 – 3m2 + 2m and m3 + m2 – 6m by factorization.

Solution:

First expression = m3 – 3m2 + 2m

= m(m2 – 3m + 2), by taking common ‘m’

= m(m2 - 2m - m + 2), by splitting the middle term -3m = -2m - m

= m[m(m - 2) - 1(m - 2)]

= m(m - 2) (m - 1)

= m × (m - 2) × (m - 1)