CameraIcon

SearchIcon

MyQuestionIcon

157

You visited us 157 times! Enjoying our articles? Unlock Full Access!

Multiplication of a Binomial by a Monomial

Subtract 3k...

Question

Subtract $3 k (5 k - l - 3 m)$ from $6 k (2 k + 3 l - 2 m)$

A

- 3 k^{2} + 21 k l - 3 k m

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

B

- 4 k^{2} + 21 k l - 3 k m

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

C

- 3 k^{2} - 21 k l - 3 k m

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

D

None of these

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

Open in App

Solution

The correct option is A $- 3 k^{2} + 21 k l - 3 k m$
We find the subtraction of the given polynomials $3 k (5 k - l - 3 m), 6 k (2 k + 3 l - 2 m)$ by combining the like terms as shown below:

$6 k (2 k + 3 l - 2 m) - 3 k (5 k - l - 3 m) = 12 k^{2} + 18 k l - 12 k m - 15 k^{2} + 3 k l + 9 k m = (12 k^{2} - 15 k^{2}) + (18 k l + 3 k l) + (- 12 k m + 9 k m) = k^{2} (12 - 15) + k l (18 + 3) + k m (- 12 + 9) = - 3 k^{2} + 21 k l - 3 k m$

Hence, $6 k (2 k + 3 l - 2 m) - 3 k (5 k - l - 3 m) = - 3 k^{2} + 21 k l - 3 k m$ .

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the value of

k,

- 4 k^{2} - (- 11)^{2} = 3 k^{2} - 9

.

Q. Rohan moves 3 km north. He turns to his left and moves 2 km. He again turns left and moves 3 km. Now he turns to his left and moves 3 km. How far is he from the starting point?

Q. Mohan travelled westward 5 kms., turned left and travelled 3 kms., turned right and travelled 9 kms. He then travelled north 3 kms. How far he is from the starting point ?

Q. A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then A turns right and walks 4 km while B turns left and walks 3 km. How far is each from the starting point?

Q. A and B start walking, from a point, in opposite directions A covers 3 km and B covers 4 km Then A turns right and walks 4 km while B turns left and walks 3 km How far is each from the starting point ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Multiplication of a Binomial by a Monomial

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of a Binomial by a Monomial

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon