The L-C-M- of v 2- v - v -12- and v 3-1 is-A- v 2v-1v 2-v-1B- v v -1 3 v 2- v -1C- v v -1D- vv-1 2v 2-v-1

The correct option is D v nbsp;(v 1)2(v2+v+1)First expression, 'v^2 v' can be written as nbsp;'v(v 1)'. Second expression, nbsp;'(v 1)^2' can be written a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

LCM of Polynomials

The L.C.M. of...

Question

The L.C.M. of $v^{2} - v$ , $(v - 1)^{2}$ , and $v^{3} - 1$ is .

v^{2} (v - 1) (v^{2} + v + 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v (v - 1)^{3} (v^{2} + v + 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v (v - 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v (v - 1)^{2} (v^{2} + v + 1)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $v (v - 1)^{2} (v^{2} + v + 1)$
First expression, ' $v^{2} - v$ ' can be written as ' $v (v - 1)$ '.
Second expression, ' $(v - 1)^{2}$ ' can be written as ' $(v - 1) (v - 1)$ '.
Third expression = $v^{3} - 1$ = $(v - 1)$ $(v^{2} + v + 1)$

So, their LCM is $v (v - 1)^{2} (v^{2} + v + 1)$ .

Suggest Corrections

Similar questions

LCM of $v^{2} - v$ , $v^{2} - 1^{2}$ , and $v^{3} - 1$

The LCM of $v^{2} - v$ , $(v - 1)^{2}$ , and $v^{3} - 1$ is

Q. If

\to u, \to v, \to w

are three noncoplanar vectors then

[\to u + \to v - \to w \to u - \to v \to v - \to w]

equals

Q. If v is a non-zero vector of dimension 3

\times

1 , then the matrix A =

v v^{T}

has a rank

Q. Show that if the room temperature changes by a small amount from T to T + ∆T, the fundamental frequency of an organ pipe changes from v to v + ∆v, where

\frac{∆ v}{v} = \frac{1}{2} \frac{∆ T}{T} .

Join BYJU'S Learning Program

The L.C.M. of v2−v, (v−1)2, and v3−1 is .

The correct option is D v (v−1)2(v2+v+1)First expression, 'v2−v' can be written as 'v(v−1)'. Second expression, '(v−1)2' can be written as '(v−1)(v−1)'. Third expression = v3−1 = (v−1) (v2+v+1) So, their LCM is v(v−1)2(v2+v+1).

The L.C.M. of $v^{2} - v$ , $(v - 1)^{2}$ , and $v^{3} - 1$ is .