Advertisement Remove all ads

Find the Following Product: (X2 − 1) (X4 + X2 + 1) - Mathematics

Answer in Brief

Find the following product:

(x2 − 1) (x4 + x2 + 1)
Advertisement Remove all ads

Solution

 Given `(x^2  - 1) (x^4+x^2 + 1)`

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

We can rearrange the `(x^2 - 1)(x^4 + x^2 + 1)`as

\[\left( x^2 - 1 \right)\left[ \left( x^2 \right)^2 + \left( x^2 \right)\left( 1 \right) + \left( 1 \right)^2 \right]\]

`= (x^2)^3 - (1)^3`

` = (x^2) xx(x^2) xx (x^2) - (1) xx (1) xx (1)`

` = x^6 - 1^3`

` = x^6 - 1`

Hence the Product value of `(x^2 - 1) (x^4 +x^2 + 1)`is  `x^6 - 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 1.11 | Page 24
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×