Question

The product (x²-1) (x⁴+x²+1) is equal to=
A. x⁸-1
B. x⁸+1
C. x⁶-1
D. x⁶+1

Answer 1

Given : (x² - 1) (x⁴ + x² + 1)

To find : The product (x² - 1) (x⁴ + x² + 1)

Solution :  

We have (x² - 1) (x⁴ + x² + 1)

By distributive law :  

x²(x⁴ + x² + 1) - 1 (x⁴ + x² + 1)

= x⁶ + x⁴ + x² - x⁴ - x² - 1

= x⁶ + x⁴ - x⁴ + x² - x² - 1

= x⁶ - 1

Hence the  product (x² - 1) (x⁴ + x² + 1) is  x⁶ - 1.

Among the given options option (C) x⁶ - 1 is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

Some questions of this chapter :

The product (a+b) (a-b) (a²-ab+b²) (a²+ab+b²) is equal to

A. a⁶+b⁶

B. a⁶-b⁶

C. a³-b³

D. a³+b³

https://brainly.in/question/15898038

If x³ + 1/x³ =110, then x +1/x = ?

A. 5

B. 10

C. 15

D. none of these

https://brainly.in/question/15897827

Answer 2

Step-by-step explanation:

HERE IS YOUR ANSWER!

$( {x}^ {2} - 1)( {x}^{4} + {x}^{2} + 1) \\ {x}^{2} ( {x}^{4} + {x}^{2} + 1) - 1( {x}^{4} + {x}^{2} + 1) \\ \\ {x}^{6} + {x}^{4} + {x}^{2} - {x}^{4} - {x}^{2} - 1 \\ \\ {x}^{6} - 1$

HEY! MATE

YOUR ANSWER IS OPTION C ❤