Advertisement Remove all ads

Find the Following Product: (X3 + 1) (X6 − X3 + 1) - Mathematics

Answer in Brief

Find the following product:

(x3 + 1) (x6 − x3 + 1)
Advertisement Remove all ads

Solution

Given (x3 + 1) (x6 − x3 + 1)

We shall use the identity, `a^3 + b^3 = (a+ b) (a^2 + b^2 - ab)`

We can rearrange the   `(x^3 + 1) (x^6 - x^3 + 1)`as

`= (x^3 + 1) [(x^3)^2 - (x^3)(1) + (1)^2]`

`= (x^3)^3 + (1)^3`

` = (x^3) xx (x^3)xx (x^3) + (1) xx (1) xx  (1) `

` = x^9 + 1^3`

` = x^9 + 1`

Hence the Product value of `(x^3 + 1) (x^6 - x^3 + 1)`is .`x^9 + 1`.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.4 | Q 1.12 | Page 24
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×