Rs aggarwal solutions
Our top 5% students will be awarded a special scholarship to Lido.

Factorization of Polynomials | Factorization of Polynomials Exercise 3F

Question 20

1029 − 3𝑥^3

Looking to do well in your science exam ?  
Learn from an expert tutor. Book a free class!
  • Solution

  • Transcript

1029 − 3𝑥^3

We can write the given question as,

1029 − 3𝑥^3 = 3(343 − 𝑥^3)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

3(343 − 𝑥^3)

= 3[7^3 − 𝑥^3]

Based on the formula,

= 3[(7 − 𝑥)(7^2 + 7𝑥 + 𝑥^2)]

= 3(7 − 𝑥)(49 + 7𝑥 + 𝑥^2)

"hello guys welcome back to your homework i'm ravanth kumar working as a tutor at leader so today we are going to solve one very interesting question and it's really very easy so how we can do it so let's see here 1029 minus 3 x cube so this is the question i have given here so this is 1 0 2 9 and 3 x cube are not the perfect cubes so we need to take some common here so that is if you are taking 3 as common here it will be remaining with 343 minus x cube right so now 343 and x cube are the perfect cubes so now 343 can be written in the form of x whole cube minus x whole cube right so your three will be the outside then it is in the format of a cube minus b cube so that is equals to a minus b of a square plus a b plus b square right so that is equals to here uh just substitute each and everything values here a and b so that is 7 minus x of 7 minus x of 7 squared plus a b that is 7x plus and your b square that is x square so that will be resulting of 3 of 7 minus x so whole of that is 7 square means 49 plus 7x plus x square so that is only written here so i hope it is everything clear to everyone if you have any doubts please comment below don't forget to subscribe to this channel thank you so much for watching this stay tuned thank you "

Set your child up for success with Lido, book a class today!

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 20

1029 − 3𝑥^3

  • Solution

  • Transcript

1029 − 3𝑥^3

We can write the given question as,

1029 − 3𝑥^3 = 3(343 − 𝑥^3)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

3(343 − 𝑥^3)

= 3[7^3 − 𝑥^3]

Based on the formula,

= 3[(7 − 𝑥)(7^2 + 7𝑥 + 𝑥^2)]

= 3(7 − 𝑥)(49 + 7𝑥 + 𝑥^2)

"hello guys welcome back to your homework i'm ravanth kumar working as a tutor at leader so today we are going to solve one very interesting question and it's really very easy so how we can do it so let's see here 1029 minus 3 x cube so this is the question i have given here so this is 1 0 2 9 and 3 x cube are not the perfect cubes so we need to take some common here so that is if you are taking 3 as common here it will be remaining with 343 minus x cube right so now 343 and x cube are the perfect cubes so now 343 can be written in the form of x whole cube minus x whole cube right so your three will be the outside then it is in the format of a cube minus b cube so that is equals to a minus b of a square plus a b plus b square right so that is equals to here uh just substitute each and everything values here a and b so that is 7 minus x of 7 minus x of 7 squared plus a b that is 7x plus and your b square that is x square so that will be resulting of 3 of 7 minus x so whole of that is 7 square means 49 plus 7x plus x square so that is only written here so i hope it is everything clear to everyone if you have any doubts please comment below don't forget to subscribe to this channel thank you so much for watching this stay tuned thank you "

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
Connect with us on social media!
2021 © Quality Tutorials Pvt Ltd All rights reserved
`