RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3F in Chapter 3 - Factorization of Polynomials

Question 11 Factorization of Polynomials Exercise 3F

𝑥^3 − 512

Answer:

𝑥^3 − 512

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

𝑥^3 − 512

= 𝑥^3 − 8^3

Using the equation,

= (𝑥 − 8)(𝑥^2 + 8𝑥 + 8^2)

= (𝑥 − 8)(𝑥^2 + 8𝑥 + 64)

Video transcript

"hello guys welcome back to leader homework i'm reverend kumar working as the tutor that we do so today we are going to solve very easy and very interesting question so let's see how we can do it and how we can solve it okay so it is exactly in the format of x cube minus eight whole cube five one two is in the for like or this cube of eight cube right so that is again in the format of a cube minus b cube so a cube minus b cube means we have this formula that is a minus b of a square plus a b plus b square so just substitute all the values here so after substituting this a is equals to x right so a is equals to x and b is equals to 8 then x minus 8 of x squared plus a square means x square plus 8x plus 64. so that is our final answer here so this is the thing after substitution we got so i hope you understood what i've done here 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 "

Related Questions

27𝑎^3 + 64𝑏^3

8𝑥^3 −1/27𝑦^3

𝑥^3/216− 8𝑦^3

3𝑎^7𝑏 − 81𝑎^4𝑏^4

𝑥^4𝑦^4 − 𝑥𝑦

8𝑥^2𝑦^3 − 𝑥^5

Exercises

Factorization of Polynomials Exercise 3A

Factorization of Polynomials Exercise 3B

Factorization of Polynomials Exercise 3C

Factorization of Polynomials Exercise 3D